What is the Greatest Common Factor of 61960 and 61976?

Greatest common factor (GCF) of 61960 and 61976 is 8.

GCF(61960,61976) = 8

We will now calculate the prime factors of 61960 and 61976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61960 and 61976.

How to find the GCF of 61960 and 61976?

We will first find the prime factorization of 61960 and 61976. After we will calculate the factors of 61960 and 61976 and find the biggest common factor number .

Step-1: Prime Factorization of 61960

Prime factors of 61960 are 2, 5, 1549. Prime factorization of 61960 in exponential form is:

61960 = 2³ × 5¹ × 1549¹

Step-2: Prime Factorization of 61976

Prime factors of 61976 are 2, 61, 127. Prime factorization of 61976 in exponential form is:

61976 = 2³ × 61¹ × 127¹

Step-3: Factors of 61960

List of positive integer factors of 61960 that divides 61960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1549, 3098, 6196, 7745, 12392, 15490, 30980

Step-4: Factors of 61976

List of positive integer factors of 61976 that divides 61960 without a remainder.

1, 2, 4, 8, 61, 122, 127, 244, 254, 488, 508, 1016, 7747, 15494, 30988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61960 and 61976. The biggest common factor number is the GCF number.
So the greatest common factor 61960 and 61976 is 8.

Also check out the Least Common Multiple of 61960 and 61976