What is the Greatest Common Factor of 61980 and 61990?

Greatest common factor (GCF) of 61980 and 61990 is 10.

GCF(61980,61990) = 10

We will now calculate the prime factors of 61980 and 61990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61980 and 61990.

How to find the GCF of 61980 and 61990?

We will first find the prime factorization of 61980 and 61990. After we will calculate the factors of 61980 and 61990 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 61990

Prime factors of 61990 are 2, 5, 6199. Prime factorization of 61990 in exponential form is:

61990 = 2¹ × 5¹ × 6199¹

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 61990

List of positive integer factors of 61990 that divides 61980 without a remainder.

1, 2, 5, 10, 6199, 12398, 30995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61980 and 61990. The biggest common factor number is the GCF number.
So the greatest common factor 61980 and 61990 is 10.

Also check out the Least Common Multiple of 61980 and 61990