What is the Greatest Common Factor of 37271 and 37284?

Greatest common factor (GCF) of 37271 and 37284 is 13.

GCF(37271,37284) = 13

We will now calculate the prime factors of 37271 and 37284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37271 and 37284.

How to find the GCF of 37271 and 37284?

We will first find the prime factorization of 37271 and 37284. After we will calculate the factors of 37271 and 37284 and find the biggest common factor number .

Step-1: Prime Factorization of 37271

Prime factors of 37271 are 13, 47, 61. Prime factorization of 37271 in exponential form is:

37271 = 13¹ × 47¹ × 61¹

Step-2: Prime Factorization of 37284

Prime factors of 37284 are 2, 3, 13, 239. Prime factorization of 37284 in exponential form is:

37284 = 2² × 3¹ × 13¹ × 239¹

Step-3: Factors of 37271

List of positive integer factors of 37271 that divides 37271 without a remainder.

1, 13, 47, 61, 611, 793, 2867

Step-4: Factors of 37284

List of positive integer factors of 37284 that divides 37271 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 239, 478, 717, 956, 1434, 2868, 3107, 6214, 9321, 12428, 18642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37271 and 37284. The biggest common factor number is the GCF number.
So the greatest common factor 37271 and 37284 is 13.

Also check out the Least Common Multiple of 37271 and 37284