What is the Greatest Common Factor of 37007 and 37027?

Greatest common factor (GCF) of 37007 and 37027 is 1.

GCF(37007,37027) = 1

We will now calculate the prime factors of 37007 and 37027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37007 and 37027.

How to find the GCF of 37007 and 37027?

We will first find the prime factorization of 37007 and 37027. After we will calculate the factors of 37007 and 37027 and find the biggest common factor number .

Step-1: Prime Factorization of 37007

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

37007 = 23¹ × 1609¹

Step-2: Prime Factorization of 37027

Prime factors of 37027 are 61, 607. Prime factorization of 37027 in exponential form is:

37027 = 61¹ × 607¹

Step-3: Factors of 37007

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

1, 23, 1609

Step-4: Factors of 37027

List of positive integer factors of 37027 that divides 37007 without a remainder.

1, 61, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37007 and 37027. The biggest common factor number is the GCF number.
So the greatest common factor 37007 and 37027 is 1.

Also check out the Least Common Multiple of 37007 and 37027