What is the Greatest Common Factor of 37980 and 37996?

Greatest common factor (GCF) of 37980 and 37996 is 4.

GCF(37980,37996) = 4

We will now calculate the prime factors of 37980 and 37996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37980 and 37996.

How to find the GCF of 37980 and 37996?

We will first find the prime factorization of 37980 and 37996. After we will calculate the factors of 37980 and 37996 and find the biggest common factor number .

Step-1: Prime Factorization of 37980

Prime factors of 37980 are 2, 3, 5, 211. Prime factorization of 37980 in exponential form is:

37980 = 2² × 3² × 5¹ × 211¹

Step-2: Prime Factorization of 37996

Prime factors of 37996 are 2, 7, 23, 59. Prime factorization of 37996 in exponential form is:

37996 = 2² × 7¹ × 23¹ × 59¹

Step-3: Factors of 37980

List of positive integer factors of 37980 that divides 37980 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 211, 422, 633, 844, 1055, 1266, 1899, 2110, 2532, 3165, 3798, 4220, 6330, 7596, 9495, 12660, 18990

Step-4: Factors of 37996

List of positive integer factors of 37996 that divides 37980 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 59, 92, 118, 161, 236, 322, 413, 644, 826, 1357, 1652, 2714, 5428, 9499, 18998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37980 and 37996. The biggest common factor number is the GCF number.
So the greatest common factor 37980 and 37996 is 4.

Also check out the Least Common Multiple of 37980 and 37996