What is the Greatest Common Factor of 37627 and 37645?

Greatest common factor (GCF) of 37627 and 37645 is 1.

GCF(37627,37645) = 1

We will now calculate the prime factors of 37627 and 37645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37627 and 37645.

How to find the GCF of 37627 and 37645?

We will first find the prime factorization of 37627 and 37645. After we will calculate the factors of 37627 and 37645 and find the biggest common factor number .

Step-1: Prime Factorization of 37627

Prime factors of 37627 are 191, 197. Prime factorization of 37627 in exponential form is:

37627 = 191¹ × 197¹

Step-2: Prime Factorization of 37645

Prime factors of 37645 are 5, 7529. Prime factorization of 37645 in exponential form is:

37645 = 5¹ × 7529¹

Step-3: Factors of 37627

List of positive integer factors of 37627 that divides 37627 without a remainder.

1, 191, 197

Step-4: Factors of 37645

List of positive integer factors of 37645 that divides 37627 without a remainder.

1, 5, 7529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37627 and 37645. The biggest common factor number is the GCF number.
So the greatest common factor 37627 and 37645 is 1.

Also check out the Least Common Multiple of 37627 and 37645