What is the Greatest Common Factor of 61992 and 62008?

Greatest common factor (GCF) of 61992 and 62008 is 8.

GCF(61992,62008) = 8

We will now calculate the prime factors of 61992 and 62008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61992 and 62008.

How to find the GCF of 61992 and 62008?

We will first find the prime factorization of 61992 and 62008. After we will calculate the factors of 61992 and 62008 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 62008

Prime factors of 62008 are 2, 23, 337. Prime factorization of 62008 in exponential form is:

62008 = 2³ × 23¹ × 337¹

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 62008

List of positive integer factors of 62008 that divides 61992 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 337, 674, 1348, 2696, 7751, 15502, 31004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61992 and 62008. The biggest common factor number is the GCF number.
So the greatest common factor 61992 and 62008 is 8.

Also check out the Least Common Multiple of 61992 and 62008