What is the Greatest Common Factor of 61944 and 61952?

Greatest common factor (GCF) of 61944 and 61952 is 8.

GCF(61944,61952) = 8

We will now calculate the prime factors of 61944 and 61952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61944 and 61952.

How to find the GCF of 61944 and 61952?

We will first find the prime factorization of 61944 and 61952. After we will calculate the factors of 61944 and 61952 and find the biggest common factor number .

Step-1: Prime Factorization of 61944

Prime factors of 61944 are 2, 3, 29, 89. Prime factorization of 61944 in exponential form is:

61944 = 2³ × 3¹ × 29¹ × 89¹

Step-2: Prime Factorization of 61952

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

61952 = 2⁹ × 11²

Step-3: Factors of 61944

List of positive integer factors of 61944 that divides 61944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 89, 116, 174, 178, 232, 267, 348, 356, 534, 696, 712, 1068, 2136, 2581, 5162, 7743, 10324, 15486, 20648, 30972

Step-4: Factors of 61952

List of positive integer factors of 61952 that divides 61944 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61944 and 61952. The biggest common factor number is the GCF number.
So the greatest common factor 61944 and 61952 is 8.

Also check out the Least Common Multiple of 61944 and 61952