Greatest Common Factor of 4956 and 4963

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, 4963 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4956 and 4963 is 7.

GCF(4956,4963) = 7

GCF of 4956 and 4963

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

GCF of:
and

Greatest Common Factor of 4956 and 4963

GCF of 4956 and 4963 is 7

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 4963


7 4963
709 709
1

Prime factors of 4963 are 7,709. Prime factorization of 4963 in exponential form is:

4963 = 71×7091

∴ So by taking common prime factors GCF of 4956 and 4963 is 7

Greatest Common Factor of 4956 and 4963 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 4963

List of positive integer factors of 4963 that divides 4963 without a remainder.

1,7,709,4963

Greatest Common Factor

We found the factors and prime factorization of 4956 and 4963. The biggest common factor number is the GCF number.
So the greatest common factor 4956 and 4963 is 7.

Also check out the Least Common Multiple of 4956 and 4963

Properties of GCF 4956 and 4963

(i) The GCF of 4956 and 4963 is associative

GCF of 4956 and 4963 = GCF of 4963 and 4956

Related Greatest Common Factor of 4956

Related Greatest Common Factor of 4963

Frequently Asked Questions on GCF of 4956 and 4963

1. What is the GCF of 4956 and 4963?

Answer: GCF of 4956 and 4963 is 7.

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 4963?

Answer: Factors of 4963 are 1, 7, 709, 4963. There are 4 integers that are factors of 4963. The greatest factor of 4963 is 4963.

4. How to Find the GCF of 4956 and 4963?

Answer:

Greatest Common Factor of 4956 and 4963 = 7

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 4963

4963 = 7 x 709

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4956 and 4963 is 7