What is the Greatest Common Factor of 61980 and 61991?

Greatest common factor (GCF) of 61980 and 61991 is 1.

GCF(61980,61991) = 1

We will now calculate the prime factors of 61980 and 61991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61980 and 61991.

How to find the GCF of 61980 and 61991?

We will first find the prime factorization of 61980 and 61991. After we will calculate the factors of 61980 and 61991 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61991

Prime factors of 61991 are 61991. Prime factorization of 61991 in exponential form is:

61991 = 61991¹

Step-3: Factors of 61980

List of positive integer factors of 61980 that divides 61980 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

Step-4: Factors of 61991

List of positive integer factors of 61991 that divides 61980 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61980 and 61991. The biggest common factor number is the GCF number.
So the greatest common factor 61980 and 61991 is 1.

Also check out the Least Common Multiple of 61980 and 61991