Greatest Common Factor of 316448 and 316452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 316448, 316452 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 316448 and 316452 is 4.

GCF(316448,316452) = 4

GCF of 316448 and 316452

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 316448 and 316452

GCF of 316448 and 316452 is 4

Prime Factorization of 316448


2 316448
2 158224
2 79112
2 39556
2 19778
11 9889
29 899
31 31
1

Prime factors of 316448 are 2,11,29,31. Prime factorization of 316448 in exponential form is:

316448 = 25×111×291×311

Prime Factorization of 316452


2 316452
2 158226
3 79113
26371 26371
1

Prime factors of 316452 are 2,3,26371. Prime factorization of 316452 in exponential form is:

316452 = 22×31×263711

∴ So by taking common prime factors GCF of 316448 and 316452 is 4

Greatest Common Factor of 316448 and 316452 by matching factors method

Factors of 316448

List of positive integer factors of 316448 that divides 316448 without a remainder.

1,2,4,8,11,16,22,29,31,32,44,58,62,88,116,124,176,232,248,319,341,352,464,496,638,682,899,928,992,1276,1364,1798,2552,2728,3596,5104,5456,7192,9889,10208,10912,14384,19778,28768,39556,79112,158224,316448

Factors of 316452

List of positive integer factors of 316452 that divides 316452 without a remainder.

1,2,3,4,6,12,26371,52742,79113,105484,158226,316452

Greatest Common Factor

We found the factors and prime factorization of 316448 and 316452. The biggest common factor number is the GCF number.
So the greatest common factor 316448 and 316452 is 4.

Also check out the Least Common Multiple of 316448 and 316452

Properties of GCF 316448 and 316452

(i) The GCF of 316448 and 316452 is associative

GCF of 316448 and 316452 = GCF of 316452 and 316448

Related Greatest Common Factor of 316448

Related Greatest Common Factor of 316452

Frequently Asked Questions on GCF of 316448 and 316452

1. What is the GCF of 316448 and 316452?

Answer: GCF of 316448 and 316452 is 4.

2. What are the Factors of 316448?

Answer: Factors of 316448 are 1, 2, 4, 8, 11, 16, 22, 29, 31, 32, 44, 58, 62, 88, 116, 124, 176, 232, 248, 319, 341, 352, 464, 496, 638, 682, 899, 928, 992, 1276, 1364, 1798, 2552, 2728, 3596, 5104, 5456, 7192, 9889, 10208, 10912, 14384, 19778, 28768, 39556, 79112, 158224, 316448. There are 48 integers that are factors of 316448. The greatest factor of 316448 is 316448.

3. What are the Factors of 316452?

Answer: Factors of 316452 are 1, 2, 3, 4, 6, 12, 26371, 52742, 79113, 105484, 158226, 316452. There are 12 integers that are factors of 316452. The greatest factor of 316452 is 316452.

4. How to Find the GCF of 316448 and 316452?

Answer:

Greatest Common Factor of 316448 and 316452 = 4

Step 1: Find the prime factorization of 316448

316448 = 2 x 2 x 2 x 2 x 2 x 11 x 29 x 31

Step 2: Find the prime factorization of 316452

316452 = 2 x 2 x 3 x 26371

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 316448 and 316452 is 4