What is the Greatest Common Factor of 61972 and 61992?

Greatest common factor (GCF) of 61972 and 61992 is 4.

GCF(61972,61992) = 4

We will now calculate the prime factors of 61972 and 61992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61972 and 61992.

How to find the GCF of 61972 and 61992?

We will first find the prime factorization of 61972 and 61992. After we will calculate the factors of 61972 and 61992 and find the biggest common factor number .

Step-1: Prime Factorization of 61972

Prime factors of 61972 are 2, 15493. Prime factorization of 61972 in exponential form is:

61972 = 2² × 15493¹

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 61972

List of positive integer factors of 61972 that divides 61972 without a remainder.

1, 2, 4, 15493, 30986

Step-4: Factors of 61992

List of positive integer factors of 61992 that divides 61972 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 61972 and 61992. The biggest common factor number is the GCF number.
So the greatest common factor 61972 and 61992 is 4.

Also check out the Least Common Multiple of 61972 and 61992