What is the Greatest Common Factor of 37652 and 37666?

Greatest common factor (GCF) of 37652 and 37666 is 2.

GCF(37652,37666) = 2

We will now calculate the prime factors of 37652 and 37666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37652 and 37666.

How to find the GCF of 37652 and 37666?

We will first find the prime factorization of 37652 and 37666. After we will calculate the factors of 37652 and 37666 and find the biggest common factor number .

Step-1: Prime Factorization of 37652

Prime factors of 37652 are 2, 9413. Prime factorization of 37652 in exponential form is:

37652 = 2² × 9413¹

Step-2: Prime Factorization of 37666

Prime factors of 37666 are 2, 37, 509. Prime factorization of 37666 in exponential form is:

37666 = 2¹ × 37¹ × 509¹

Step-3: Factors of 37652

List of positive integer factors of 37652 that divides 37652 without a remainder.

1, 2, 4, 9413, 18826

Step-4: Factors of 37666

List of positive integer factors of 37666 that divides 37652 without a remainder.

1, 2, 37, 74, 509, 1018, 18833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37652 and 37666. The biggest common factor number is the GCF number.
So the greatest common factor 37652 and 37666 is 2.

Also check out the Least Common Multiple of 37652 and 37666