What is the Greatest Common Factor of 36952 and 36970?

Greatest common factor (GCF) of 36952 and 36970 is 2.

GCF(36952,36970) = 2

We will now calculate the prime factors of 36952 and 36970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36952 and 36970.

How to find the GCF of 36952 and 36970?

We will first find the prime factorization of 36952 and 36970. After we will calculate the factors of 36952 and 36970 and find the biggest common factor number .

Step-1: Prime Factorization of 36952

Prime factors of 36952 are 2, 31, 149. Prime factorization of 36952 in exponential form is:

36952 = 2³ × 31¹ × 149¹

Step-2: Prime Factorization of 36970

Prime factors of 36970 are 2, 5, 3697. Prime factorization of 36970 in exponential form is:

36970 = 2¹ × 5¹ × 3697¹

Step-3: Factors of 36952

List of positive integer factors of 36952 that divides 36952 without a remainder.

1, 2, 4, 8, 31, 62, 124, 149, 248, 298, 596, 1192, 4619, 9238, 18476

Step-4: Factors of 36970

List of positive integer factors of 36970 that divides 36952 without a remainder.

1, 2, 5, 10, 3697, 7394, 18485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36952 and 36970. The biggest common factor number is the GCF number.
So the greatest common factor 36952 and 36970 is 2.

Also check out the Least Common Multiple of 36952 and 36970