What is the Greatest Common Factor of 37014 and 37032?

Greatest common factor (GCF) of 37014 and 37032 is 6.

GCF(37014,37032) = 6

We will now calculate the prime factors of 37014 and 37032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37014 and 37032.

How to find the GCF of 37014 and 37032?

We will first find the prime factorization of 37014 and 37032. After we will calculate the factors of 37014 and 37032 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 37032

Prime factors of 37032 are 2, 3, 1543. Prime factorization of 37032 in exponential form is:

37032 = 2³ × 3¹ × 1543¹

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 37032

List of positive integer factors of 37032 that divides 37014 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1543, 3086, 4629, 6172, 9258, 12344, 18516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37014 and 37032. The biggest common factor number is the GCF number.
So the greatest common factor 37014 and 37032 is 6.

Also check out the Least Common Multiple of 37014 and 37032