Greatest Common Factor of 316448 and 316450

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, 316450 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 316448 and 316450 is 2.

GCF(316448,316450) = 2

GCF of 316448 and 316450

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

GCF of:
and

Greatest Common Factor of 316448 and 316450

GCF of 316448 and 316450 is 2

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 316450


2 316450
5 158225
5 31645
6329 6329
1

Prime factors of 316450 are 2,5,6329. Prime factorization of 316450 in exponential form is:

316450 = 21×52×63291

∴ So by taking common prime factors GCF of 316448 and 316450 is 2

Greatest Common Factor of 316448 and 316450 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 316450

List of positive integer factors of 316450 that divides 316450 without a remainder.

1,2,5,10,25,50,6329,12658,31645,63290,158225,316450

Greatest Common Factor

We found the factors and prime factorization of 316448 and 316450. The biggest common factor number is the GCF number.
So the greatest common factor 316448 and 316450 is 2.

Also check out the Least Common Multiple of 316448 and 316450

Properties of GCF 316448 and 316450

(i) The GCF of 316448 and 316450 is associative

GCF of 316448 and 316450 = GCF of 316450 and 316448

Related Greatest Common Factor of 316448

Related Greatest Common Factor of 316450

Frequently Asked Questions on GCF of 316448 and 316450

1. What is the GCF of 316448 and 316450?

Answer: GCF of 316448 and 316450 is 2.

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 316450?

Answer: Factors of 316450 are 1, 2, 5, 10, 25, 50, 6329, 12658, 31645, 63290, 158225, 316450. There are 12 integers that are factors of 316450. The greatest factor of 316450 is 316450.

4. How to Find the GCF of 316448 and 316450?

Answer:

Greatest Common Factor of 316448 and 316450 = 2

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 316450

316450 = 2 x 5 x 5 x 6329

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

GCF = 2

Step 4: Therefore, the greatest common factor of 316448 and 316450 is 2