What is the Greatest Common Factor of 61992 and 61996?

Greatest common factor (GCF) of 61992 and 61996 is 4.

GCF(61992,61996) = 4

We will now calculate the prime factors of 61992 and 61996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61992 and 61996.

How to find the GCF of 61992 and 61996?

We will first find the prime factorization of 61992 and 61996. After we will calculate the factors of 61992 and 61996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61996

Prime factors of 61996 are 2, 11, 1409. Prime factorization of 61996 in exponential form is:

61996 = 2² × 11¹ × 1409¹

Step-3: Factors of 61992

List of positive integer factors of 61992 that divides 61992 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

Step-4: Factors of 61996

List of positive integer factors of 61996 that divides 61992 without a remainder.

1, 2, 4, 11, 22, 44, 1409, 2818, 5636, 15499, 30998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61992 and 61996. The biggest common factor number is the GCF number.
So the greatest common factor 61992 and 61996 is 4.

Also check out the Least Common Multiple of 61992 and 61996