What is the Greatest Common Factor of 61952 and 61968?

Greatest common factor (GCF) of 61952 and 61968 is 16.

GCF(61952,61968) = 16

We will now calculate the prime factors of 61952 and 61968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61952 and 61968.

How to find the GCF of 61952 and 61968?

We will first find the prime factorization of 61952 and 61968. After we will calculate the factors of 61952 and 61968 and find the biggest common factor number .

Step-1: Prime Factorization of 61952

Prime factors of 61952 are 2, 11. Prime factorization of 61952 in exponential form is:

61952 = 2⁹ × 11²

Step-2: Prime Factorization of 61968

Prime factors of 61968 are 2, 3, 1291. Prime factorization of 61968 in exponential form is:

61968 = 2⁴ × 3¹ × 1291¹

Step-3: Factors of 61952

List of positive integer factors of 61952 that divides 61952 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 128, 176, 242, 256, 352, 484, 512, 704, 968, 1408, 1936, 2816, 3872, 5632, 7744, 15488, 30976

Step-4: Factors of 61968

List of positive integer factors of 61968 that divides 61952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1291, 2582, 3873, 5164, 7746, 10328, 15492, 20656, 30984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61952 and 61968. The biggest common factor number is the GCF number.
So the greatest common factor 61952 and 61968 is 16.

Also check out the Least Common Multiple of 61952 and 61968