What is the Greatest Common Factor of 61932 and 61938?

Greatest common factor (GCF) of 61932 and 61938 is 6.

GCF(61932,61938) = 6

We will now calculate the prime factors of 61932 and 61938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61932 and 61938.

How to find the GCF of 61932 and 61938?

We will first find the prime factorization of 61932 and 61938. After we will calculate the factors of 61932 and 61938 and find the biggest common factor number .

Step-1: Prime Factorization of 61932

Prime factors of 61932 are 2, 3, 13, 397. Prime factorization of 61932 in exponential form is:

61932 = 2² × 3¹ × 13¹ × 397¹

Step-2: Prime Factorization of 61938

Prime factors of 61938 are 2, 3, 31, 37. Prime factorization of 61938 in exponential form is:

61938 = 2¹ × 3³ × 31¹ × 37¹

Step-3: Factors of 61932

List of positive integer factors of 61932 that divides 61932 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 397, 794, 1191, 1588, 2382, 4764, 5161, 10322, 15483, 20644, 30966

Step-4: Factors of 61938

List of positive integer factors of 61938 that divides 61932 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 37, 54, 62, 74, 93, 111, 186, 222, 279, 333, 558, 666, 837, 999, 1147, 1674, 1998, 2294, 3441, 6882, 10323, 20646, 30969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61932 and 61938. The biggest common factor number is the GCF number.
So the greatest common factor 61932 and 61938 is 6.

Also check out the Least Common Multiple of 61932 and 61938