What is the Greatest Common Factor of 37974 and 37993?

Greatest common factor (GCF) of 37974 and 37993 is 1.

GCF(37974,37993) = 1

We will now calculate the prime factors of 37974 and 37993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37974 and 37993.

How to find the GCF of 37974 and 37993?

We will first find the prime factorization of 37974 and 37993. After we will calculate the factors of 37974 and 37993 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 37993

Prime factors of 37993 are 37993. Prime factorization of 37993 in exponential form is:

37993 = 37993¹

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 37993

List of positive integer factors of 37993 that divides 37974 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37974 and 37993. The biggest common factor number is the GCF number.
So the greatest common factor 37974 and 37993 is 1.

Also check out the Least Common Multiple of 37974 and 37993