What is the Greatest Common Factor of 61964 and 61980?

Greatest common factor (GCF) of 61964 and 61980 is 4.

GCF(61964,61980) = 4

We will now calculate the prime factors of 61964 and 61980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61964 and 61980.

How to find the GCF of 61964 and 61980?

We will first find the prime factorization of 61964 and 61980. After we will calculate the factors of 61964 and 61980 and find the biggest common factor number .

Step-1: Prime Factorization of 61964

Prime factors of 61964 are 2, 7, 2213. Prime factorization of 61964 in exponential form is:

61964 = 2² × 7¹ × 2213¹

Step-2: Prime Factorization of 61980

Prime factors of 61980 are 2, 3, 5, 1033. Prime factorization of 61980 in exponential form is:

61980 = 2² × 3¹ × 5¹ × 1033¹

Step-3: Factors of 61964

List of positive integer factors of 61964 that divides 61964 without a remainder.

1, 2, 4, 7, 14, 28, 2213, 4426, 8852, 15491, 30982

Step-4: Factors of 61980

List of positive integer factors of 61980 that divides 61964 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1033, 2066, 3099, 4132, 5165, 6198, 10330, 12396, 15495, 20660, 30990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61964 and 61980. The biggest common factor number is the GCF number.
So the greatest common factor 61964 and 61980 is 4.

Also check out the Least Common Multiple of 61964 and 61980