What is the Greatest Common Factor of 37002 and 37007?

Greatest common factor (GCF) of 37002 and 37007 is 1.

GCF(37002,37007) = 1

We will now calculate the prime factors of 37002 and 37007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37002 and 37007.

How to find the GCF of 37002 and 37007?

We will first find the prime factorization of 37002 and 37007. After we will calculate the factors of 37002 and 37007 and find the biggest common factor number .

Step-1: Prime Factorization of 37002

Prime factors of 37002 are 2, 3, 7, 881. Prime factorization of 37002 in exponential form is:

37002 = 2¹ × 3¹ × 7¹ × 881¹

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 37002

List of positive integer factors of 37002 that divides 37002 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 881, 1762, 2643, 5286, 6167, 12334, 18501

Step-4: Factors of 37007

List of positive integer factors of 37007 that divides 37002 without a remainder.

1, 23, 1609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37002 and 37007. The biggest common factor number is the GCF number.
So the greatest common factor 37002 and 37007 is 1.

Also check out the Least Common Multiple of 37002 and 37007