What is the Greatest Common Factor of 61977 and 61992?

Greatest common factor (GCF) of 61977 and 61992 is 3.

GCF(61977,61992) = 3

We will now calculate the prime factors of 61977 and 61992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61977 and 61992.

How to find the GCF of 61977 and 61992?

We will first find the prime factorization of 61977 and 61992. After we will calculate the factors of 61977 and 61992 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 61992

Prime factors of 61992 are 2, 3, 7, 41. Prime factorization of 61992 in exponential form is:

61992 = 2³ × 3³ × 7¹ × 41¹

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 61992

List of positive integer factors of 61992 that divides 61977 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 41, 42, 54, 56, 63, 72, 82, 84, 108, 123, 126, 164, 168, 189, 216, 246, 252, 287, 328, 369, 378, 492, 504, 574, 738, 756, 861, 984, 1107, 1148, 1476, 1512, 1722, 2214, 2296, 2583, 2952, 3444, 4428, 5166, 6888, 7749, 8856, 10332, 15498, 20664, 30996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61977 and 61992. The biggest common factor number is the GCF number.
So the greatest common factor 61977 and 61992 is 3.

Also check out the Least Common Multiple of 61977 and 61992