Greatest Common Factor of 7272 and 7276

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 7272, 7276 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7272 and 7276 is 4.

GCF(7272,7276) = 4

GCF of 7272 and 7276

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

GCF of:
and

Greatest Common Factor of 7272 and 7276

GCF of 7272 and 7276 is 4

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

Prime Factorization of 7276


2 7276
2 3638
17 1819
107 107
1

Prime factors of 7276 are 2,17,107. Prime factorization of 7276 in exponential form is:

7276 = 22×171×1071

∴ So by taking common prime factors GCF of 7272 and 7276 is 4

Greatest Common Factor of 7272 and 7276 by matching factors method

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

Factors of 7276

List of positive integer factors of 7276 that divides 7276 without a remainder.

1,2,4,17,34,68,107,214,428,1819,3638,7276

Greatest Common Factor

We found the factors and prime factorization of 7272 and 7276. The biggest common factor number is the GCF number.
So the greatest common factor 7272 and 7276 is 4.

Also check out the Least Common Multiple of 7272 and 7276

Properties of GCF 7272 and 7276

(i) The GCF of 7272 and 7276 is associative

GCF of 7272 and 7276 = GCF of 7276 and 7272

Related Greatest Common Factor of 7272

Related Greatest Common Factor of 7276

Frequently Asked Questions on GCF of 7272 and 7276

1. What is the GCF of 7272 and 7276?

Answer: GCF of 7272 and 7276 is 4.

2. 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.

3. What are the Factors of 7276?

Answer: Factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276. There are 12 integers that are factors of 7276. The greatest factor of 7276 is 7276.

4. How to Find the GCF of 7272 and 7276?

Answer:

Greatest Common Factor of 7272 and 7276 = 4

Step 1: Find the prime factorization of 7272

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

Step 2: Find the prime factorization of 7276

7276 = 2 x 2 x 17 x 107

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 7272 and 7276 is 4