Greatest Common Factor of 4956 and 4964

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 4956, 4964 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4956 and 4964 is 4.

GCF(4956,4964) = 4

GCF of 4956 and 4964

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

GCF of:
and

Greatest Common Factor of 4956 and 4964

GCF of 4956 and 4964 is 4

Prime Factorization of 4956


2 4956
2 2478
3 1239
7 413
59 59
1

Prime factors of 4956 are 2,3,7,59. Prime factorization of 4956 in exponential form is:

4956 = 22×31×71×591

Prime Factorization of 4964


2 4964
2 2482
17 1241
73 73
1

Prime factors of 4964 are 2,17,73. Prime factorization of 4964 in exponential form is:

4964 = 22×171×731

∴ So by taking common prime factors GCF of 4956 and 4964 is 4

Greatest Common Factor of 4956 and 4964 by matching factors method

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956

Factors of 4964

List of positive integer factors of 4964 that divides 4964 without a remainder.

1,2,4,17,34,68,73,146,292,1241,2482,4964

Greatest Common Factor

We found the factors and prime factorization of 4956 and 4964. The biggest common factor number is the GCF number.
So the greatest common factor 4956 and 4964 is 4.

Also check out the Least Common Multiple of 4956 and 4964

Properties of GCF 4956 and 4964

(i) The GCF of 4956 and 4964 is associative

GCF of 4956 and 4964 = GCF of 4964 and 4956

Related Greatest Common Factor of 4956

Related Greatest Common Factor of 4964

Frequently Asked Questions on GCF of 4956 and 4964

1. What is the GCF of 4956 and 4964?

Answer: GCF of 4956 and 4964 is 4.

2. What are the Factors of 4956?

Answer: Factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956. There are 24 integers that are factors of 4956. The greatest factor of 4956 is 4956.

3. What are the Factors of 4964?

Answer: Factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964. There are 12 integers that are factors of 4964. The greatest factor of 4964 is 4964.

4. How to Find the GCF of 4956 and 4964?

Answer:

Greatest Common Factor of 4956 and 4964 = 4

Step 1: Find the prime factorization of 4956

4956 = 2 x 2 x 3 x 7 x 59

Step 2: Find the prime factorization of 4964

4964 = 2 x 2 x 17 x 73

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 4956 and 4964 is 4