What is the Greatest Common Factor of 4960 and 4968?

Greatest common factor (GCF) of 4960 and 4968 is 8.

GCF(4960,4968) = 8

We will now calculate the prime factors of 4960 and 4968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4960 and 4968.

How to find the GCF of 4960 and 4968?

We will first find the prime factorization of 4960 and 4968. After we will calculate the factors of 4960 and 4968 and find the biggest common factor number .

Step-1: Prime Factorization of 4960

Prime factors of 4960 are 2, 5, 31. Prime factorization of 4960 in exponential form is:

4960 = 2⁵ × 5¹ × 31¹

Step-2: Prime Factorization of 4968

Prime factors of 4968 are 2, 3, 23. Prime factorization of 4968 in exponential form is:

4968 = 2³ × 3³ × 23¹

Step-3: Factors of 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480

Step-4: Factors of 4968

List of positive integer factors of 4968 that divides 4960 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4960 and 4968. The biggest common factor number is the GCF number.
So the greatest common factor 4960 and 4968 is 8.

Also check out the Least Common Multiple of 4960 and 4968