What is the Greatest Common Factor of 36988 and 37007?

Greatest common factor (GCF) of 36988 and 37007 is 1.

GCF(36988,37007) = 1

We will now calculate the prime factors of 36988 and 37007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36988 and 37007.

How to find the GCF of 36988 and 37007?

We will first find the prime factorization of 36988 and 37007. After we will calculate the factors of 36988 and 37007 and find the biggest common factor number .

Step-1: Prime Factorization of 36988

Prime factors of 36988 are 2, 7, 1321. Prime factorization of 36988 in exponential form is:

36988 = 2² × 7¹ × 1321¹

Step-2: Prime Factorization of 37007

Prime factors of 37007 are 23, 1609. Prime factorization of 37007 in exponential form is:

37007 = 23¹ × 1609¹

Step-3: Factors of 36988

List of positive integer factors of 36988 that divides 36988 without a remainder.

1, 2, 4, 7, 14, 28, 1321, 2642, 5284, 9247, 18494

Step-4: Factors of 37007

List of positive integer factors of 37007 that divides 36988 without a remainder.

1, 23, 1609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36988 and 37007. The biggest common factor number is the GCF number.
So the greatest common factor 36988 and 37007 is 1.

Also check out the Least Common Multiple of 36988 and 37007