What is the Greatest Common Factor of 37978 and 37996?

Greatest common factor (GCF) of 37978 and 37996 is 2.

GCF(37978,37996) = 2

We will now calculate the prime factors of 37978 and 37996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37978 and 37996.

How to find the GCF of 37978 and 37996?

We will first find the prime factorization of 37978 and 37996. After we will calculate the factors of 37978 and 37996 and find the biggest common factor number .

Step-1: Prime Factorization of 37978

Prime factors of 37978 are 2, 17, 1117. Prime factorization of 37978 in exponential form is:

37978 = 2¹ × 17¹ × 1117¹

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 37978

List of positive integer factors of 37978 that divides 37978 without a remainder.

1, 2, 17, 34, 1117, 2234, 18989

Step-4: Factors of 37996

List of positive integer factors of 37996 that divides 37978 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 37978 and 37996. The biggest common factor number is the GCF number.
So the greatest common factor 37978 and 37996 is 2.

Also check out the Least Common Multiple of 37978 and 37996