What is the Greatest Common Factor of 61992 and 62012?

Greatest common factor (GCF) of 61992 and 62012 is 4.

GCF(61992,62012) = 4

We will now calculate the prime factors of 61992 and 62012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61992 and 62012.

How to find the GCF of 61992 and 62012?

We will first find the prime factorization of 61992 and 62012. After we will calculate the factors of 61992 and 62012 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 62012

Prime factors of 62012 are 2, 37, 419. Prime factorization of 62012 in exponential form is:

62012 = 2² × 37¹ × 419¹

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 62012

List of positive integer factors of 62012 that divides 61992 without a remainder.

1, 2, 4, 37, 74, 148, 419, 838, 1676, 15503, 31006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61992 and 62012. The biggest common factor number is the GCF number.
So the greatest common factor 61992 and 62012 is 4.

Also check out the Least Common Multiple of 61992 and 62012