What is the Greatest Common Factor of 37014 and 37023?

Greatest common factor (GCF) of 37014 and 37023 is 3.

GCF(37014,37023) = 3

We will now calculate the prime factors of 37014 and 37023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37014 and 37023.

How to find the GCF of 37014 and 37023?

We will first find the prime factorization of 37014 and 37023. After we will calculate the factors of 37014 and 37023 and find the biggest common factor number .

Step-1: Prime Factorization of 37014

Prime factors of 37014 are 2, 3, 31, 199. Prime factorization of 37014 in exponential form is:

37014 = 2¹ × 3¹ × 31¹ × 199¹

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 37014

List of positive integer factors of 37014 that divides 37014 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 199, 398, 597, 1194, 6169, 12338, 18507

Step-4: Factors of 37023

List of positive integer factors of 37023 that divides 37014 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 37014 and 37023. The biggest common factor number is the GCF number.
So the greatest common factor 37014 and 37023 is 3.

Also check out the Least Common Multiple of 37014 and 37023