What is the Greatest Common Factor of 61938 and 61954?

Greatest common factor (GCF) of 61938 and 61954 is 2.

GCF(61938,61954) = 2

We will now calculate the prime factors of 61938 and 61954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61938 and 61954.

How to find the GCF of 61938 and 61954?

We will first find the prime factorization of 61938 and 61954. After we will calculate the factors of 61938 and 61954 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 61954

Prime factors of 61954 are 2, 30977. Prime factorization of 61954 in exponential form is:

61954 = 2¹ × 30977¹

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 61954

List of positive integer factors of 61954 that divides 61938 without a remainder.

1, 2, 30977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61938 and 61954. The biggest common factor number is the GCF number.
So the greatest common factor 61938 and 61954 is 2.

Also check out the Least Common Multiple of 61938 and 61954