What is the Greatest Common Factor of 37009 and 37023?

Greatest common factor (GCF) of 37009 and 37023 is 7.

GCF(37009,37023) = 7

We will now calculate the prime factors of 37009 and 37023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37009 and 37023.

How to find the GCF of 37009 and 37023?

We will first find the prime factorization of 37009 and 37023. After we will calculate the factors of 37009 and 37023 and find the biggest common factor number .

Step-1: Prime Factorization of 37009

Prime factors of 37009 are 7, 17, 311. Prime factorization of 37009 in exponential form is:

37009 = 7¹ × 17¹ × 311¹

Step-2: Prime Factorization of 37023

Prime factors of 37023 are 3, 7, 41, 43. Prime factorization of 37023 in exponential form is:

37023 = 3¹ × 7¹ × 41¹ × 43¹

Step-3: Factors of 37009

List of positive integer factors of 37009 that divides 37009 without a remainder.

1, 7, 17, 119, 311, 2177, 5287

Step-4: Factors of 37023

List of positive integer factors of 37023 that divides 37009 without a remainder.

1, 3, 7, 21, 41, 43, 123, 129, 287, 301, 861, 903, 1763, 5289, 12341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37009 and 37023. The biggest common factor number is the GCF number.
So the greatest common factor 37009 and 37023 is 7.

Also check out the Least Common Multiple of 37009 and 37023