Greatest Common Factor of 7264 and 7272

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 7264, 7272 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7264 and 7272 is 8.

GCF(7264,7272) = 8

GCF of 7264 and 7272

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

GCF of:
and

Greatest Common Factor of 7264 and 7272

GCF of 7264 and 7272 is 8

Prime Factorization of 7264


2 7264
2 3632
2 1816
2 908
2 454
227 227
1

Prime factors of 7264 are 2,227. Prime factorization of 7264 in exponential form is:

7264 = 25×2271

Prime Factorization of 7272


2 7272
2 3636
2 1818
3 909
3 303
101 101
1

Prime factors of 7272 are 2,3,101. Prime factorization of 7272 in exponential form is:

7272 = 23×32×1011

∴ So by taking common prime factors GCF of 7264 and 7272 is 8

Greatest Common Factor of 7264 and 7272 by matching factors method

Factors of 7264

List of positive integer factors of 7264 that divides 7264 without a remainder.

1,2,4,8,16,32,227,454,908,1816,3632,7264

Factors of 7272

List of positive integer factors of 7272 that divides 7272 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272

Greatest Common Factor

We found the factors and prime factorization of 7264 and 7272. The biggest common factor number is the GCF number.
So the greatest common factor 7264 and 7272 is 8.

Also check out the Least Common Multiple of 7264 and 7272

Properties of GCF 7264 and 7272

(i) The GCF of 7264 and 7272 is associative

GCF of 7264 and 7272 = GCF of 7272 and 7264

Related Greatest Common Factor of 7264

Related Greatest Common Factor of 7272

Frequently Asked Questions on GCF of 7264 and 7272

1. What is the GCF of 7264 and 7272?

Answer: GCF of 7264 and 7272 is 8.

2. What are the Factors of 7264?

Answer: Factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264. There are 12 integers that are factors of 7264. The greatest factor of 7264 is 7264.

3. What are the Factors of 7272?

Answer: Factors of 7272 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272. There are 24 integers that are factors of 7272. The greatest factor of 7272 is 7272.

4. How to Find the GCF of 7264 and 7272?

Answer:

Greatest Common Factor of 7264 and 7272 = 8

Step 1: Find the prime factorization of 7264

7264 = 2 x 2 x 2 x 2 x 2 x 227

Step 2: Find the prime factorization of 7272

7272 = 2 x 2 x 2 x 3 x 3 x 101

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 7264 and 7272 is 8