What is the Greatest Common Factor of 37974 and 37990?

Greatest common factor (GCF) of 37974 and 37990 is 2.

GCF(37974,37990) = 2

We will now calculate the prime factors of 37974 and 37990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37974 and 37990.

How to find the GCF of 37974 and 37990?

We will first find the prime factorization of 37974 and 37990. After we will calculate the factors of 37974 and 37990 and find the biggest common factor number .

Step-1: Prime Factorization of 37974

Prime factors of 37974 are 2, 3, 6329. Prime factorization of 37974 in exponential form is:

37974 = 2¹ × 3¹ × 6329¹

Step-2: Prime Factorization of 37990

Prime factors of 37990 are 2, 5, 29, 131. Prime factorization of 37990 in exponential form is:

37990 = 2¹ × 5¹ × 29¹ × 131¹

Step-3: Factors of 37974

List of positive integer factors of 37974 that divides 37974 without a remainder.

1, 2, 3, 6, 6329, 12658, 18987

Step-4: Factors of 37990

List of positive integer factors of 37990 that divides 37974 without a remainder.

1, 2, 5, 10, 29, 58, 131, 145, 262, 290, 655, 1310, 3799, 7598, 18995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37974 and 37990. The biggest common factor number is the GCF number.
So the greatest common factor 37974 and 37990 is 2.

Also check out the Least Common Multiple of 37974 and 37990