What is the Greatest Common Factor of 61938 and 61953?

Greatest common factor (GCF) of 61938 and 61953 is 3.

GCF(61938,61953) = 3

We will now calculate the prime factors of 61938 and 61953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61938 and 61953.

How to find the GCF of 61938 and 61953?

We will first find the prime factorization of 61938 and 61953. After we will calculate the factors of 61938 and 61953 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61953

Prime factors of 61953 are 3, 107, 193. Prime factorization of 61953 in exponential form is:

61953 = 3¹ × 107¹ × 193¹

Step-3: Factors of 61938

List of positive integer factors of 61938 that divides 61938 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

Step-4: Factors of 61953

List of positive integer factors of 61953 that divides 61938 without a remainder.

1, 3, 107, 193, 321, 579, 20651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61938 and 61953. The biggest common factor number is the GCF number.
So the greatest common factor 61938 and 61953 is 3.

Also check out the Least Common Multiple of 61938 and 61953