What is the Greatest Common Factor of 61977 and 61990?

Greatest common factor (GCF) of 61977 and 61990 is 1.

GCF(61977,61990) = 1

We will now calculate the prime factors of 61977 and 61990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61977 and 61990.

How to find the GCF of 61977 and 61990?

We will first find the prime factorization of 61977 and 61990. After we will calculate the factors of 61977 and 61990 and find the biggest common factor number .

Step-1: Prime Factorization of 61977

Prime factors of 61977 are 3, 73, 283. Prime factorization of 61977 in exponential form is:

61977 = 3¹ × 73¹ × 283¹

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 61977

List of positive integer factors of 61977 that divides 61977 without a remainder.

1, 3, 73, 219, 283, 849, 20659

Step-4: Factors of 61990

List of positive integer factors of 61990 that divides 61977 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61977 and 61990. The biggest common factor number is the GCF number.
So the greatest common factor 61977 and 61990 is 1.

Also check out the Least Common Multiple of 61977 and 61990