What is the Greatest Common Factor of 4949 and 4956?

Greatest common factor (GCF) of 4949 and 4956 is 7.

GCF(4949,4956) = 7

We will now calculate the prime factors of 4949 and 4956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4949 and 4956.

How to find the GCF of 4949 and 4956?

We will first find the prime factorization of 4949 and 4956. After we will calculate the factors of 4949 and 4956 and find the biggest common factor number .

Step-1: Prime Factorization of 4949

Prime factors of 4949 are 7, 101. Prime factorization of 4949 in exponential form is:

4949 = 7² × 101¹

Step-2: Prime Factorization of 4956

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

4956 = 2² × 3¹ × 7¹ × 59¹

Step-3: Factors of 4949

List of positive integer factors of 4949 that divides 4949 without a remainder.

1, 7, 49, 101, 707

Step-4: Factors of 4956

List of positive integer factors of 4956 that divides 4949 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4949 and 4956. The biggest common factor number is the GCF number.
So the greatest common factor 4949 and 4956 is 7.

Also check out the Least Common Multiple of 4949 and 4956