What is the Greatest Common Factor of 37952 and 37972?

Greatest common factor (GCF) of 37952 and 37972 is 4.

GCF(37952,37972) = 4

We will now calculate the prime factors of 37952 and 37972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37952 and 37972.

How to find the GCF of 37952 and 37972?

We will first find the prime factorization of 37952 and 37972. After we will calculate the factors of 37952 and 37972 and find the biggest common factor number .

Step-1: Prime Factorization of 37952

Prime factors of 37952 are 2, 593. Prime factorization of 37952 in exponential form is:

37952 = 2⁶ × 593¹

Step-2: Prime Factorization of 37972

Prime factors of 37972 are 2, 11, 863. Prime factorization of 37972 in exponential form is:

37972 = 2² × 11¹ × 863¹

Step-3: Factors of 37952

List of positive integer factors of 37952 that divides 37952 without a remainder.

1, 2, 4, 8, 16, 32, 64, 593, 1186, 2372, 4744, 9488, 18976

Step-4: Factors of 37972

List of positive integer factors of 37972 that divides 37952 without a remainder.

1, 2, 4, 11, 22, 44, 863, 1726, 3452, 9493, 18986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37952 and 37972. The biggest common factor number is the GCF number.
So the greatest common factor 37952 and 37972 is 4.

Also check out the Least Common Multiple of 37952 and 37972