What is the Greatest Common Factor of 4960 and 4964?

Greatest common factor (GCF) of 4960 and 4964 is 4.

GCF(4960,4964) = 4

We will now calculate the prime factors of 4960 and 4964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4960 and 4964.

How to find the GCF of 4960 and 4964?

We will first find the prime factorization of 4960 and 4964. After we will calculate the factors of 4960 and 4964 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 4964

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

4964 = 2² × 17¹ × 73¹

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 4964

List of positive integer factors of 4964 that divides 4960 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4960 and 4964. The biggest common factor number is the GCF number.
So the greatest common factor 4960 and 4964 is 4.

Also check out the Least Common Multiple of 4960 and 4964