Greatest Common Factor of 4464 and 4472

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 4464, 4472 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4464 and 4472 is 8.

GCF(4464,4472) = 8

GCF of 4464 and 4472

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

GCF of:
and

Greatest Common Factor of 4464 and 4472

GCF of 4464 and 4472 is 8

Prime Factorization of 4464


2 4464
2 2232
2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 4464 are 2,3,31. Prime factorization of 4464 in exponential form is:

4464 = 24×32×311

Prime Factorization of 4472


2 4472
2 2236
2 1118
13 559
43 43
1

Prime factors of 4472 are 2,13,43. Prime factorization of 4472 in exponential form is:

4472 = 23×131×431

∴ So by taking common prime factors GCF of 4464 and 4472 is 8

Greatest Common Factor of 4464 and 4472 by matching factors method

Factors of 4464

List of positive integer factors of 4464 that divides 4464 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,31,36,48,62,72,93,124,144,186,248,279,372,496,558,744,1116,1488,2232,4464

Factors of 4472

List of positive integer factors of 4472 that divides 4472 without a remainder.

1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472

Greatest Common Factor

We found the factors and prime factorization of 4464 and 4472. The biggest common factor number is the GCF number.
So the greatest common factor 4464 and 4472 is 8.

Also check out the Least Common Multiple of 4464 and 4472

Properties of GCF 4464 and 4472

(i) The GCF of 4464 and 4472 is associative

GCF of 4464 and 4472 = GCF of 4472 and 4464

Related Greatest Common Factor of 4464

Related Greatest Common Factor of 4472

Frequently Asked Questions on GCF of 4464 and 4472

1. What is the GCF of 4464 and 4472?

Answer: GCF of 4464 and 4472 is 8.

2. What are the Factors of 4464?

Answer: Factors of 4464 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464. There are 30 integers that are factors of 4464. The greatest factor of 4464 is 4464.

3. What are the Factors of 4472?

Answer: Factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472. There are 16 integers that are factors of 4472. The greatest factor of 4472 is 4472.

4. How to Find the GCF of 4464 and 4472?

Answer:

Greatest Common Factor of 4464 and 4472 = 8

Step 1: Find the prime factorization of 4464

4464 = 2 x 2 x 2 x 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 4472

4472 = 2 x 2 x 2 x 13 x 43

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4464 and 4472 is 8