What is the Greatest Common Factor of 37052 and 37070?

Greatest common factor (GCF) of 37052 and 37070 is 2.

GCF(37052,37070) = 2

We will now calculate the prime factors of 37052 and 37070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37052 and 37070.

How to find the GCF of 37052 and 37070?

We will first find the prime factorization of 37052 and 37070. After we will calculate the factors of 37052 and 37070 and find the biggest common factor number .

Step-1: Prime Factorization of 37052

Prime factors of 37052 are 2, 59, 157. Prime factorization of 37052 in exponential form is:

37052 = 2² × 59¹ × 157¹

Step-2: Prime Factorization of 37070

Prime factors of 37070 are 2, 5, 11, 337. Prime factorization of 37070 in exponential form is:

37070 = 2¹ × 5¹ × 11¹ × 337¹

Step-3: Factors of 37052

List of positive integer factors of 37052 that divides 37052 without a remainder.

1, 2, 4, 59, 118, 157, 236, 314, 628, 9263, 18526

Step-4: Factors of 37070

List of positive integer factors of 37070 that divides 37052 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 337, 674, 1685, 3370, 3707, 7414, 18535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37052 and 37070. The biggest common factor number is the GCF number.
So the greatest common factor 37052 and 37070 is 2.

Also check out the Least Common Multiple of 37052 and 37070