What is the Greatest Common Factor of 37464 and 37471?

Greatest common factor (GCF) of 37464 and 37471 is 7.

GCF(37464,37471) = 7

We will now calculate the prime factors of 37464 and 37471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37464 and 37471.

How to find the GCF of 37464 and 37471?

We will first find the prime factorization of 37464 and 37471. After we will calculate the factors of 37464 and 37471 and find the biggest common factor number .

Step-1: Prime Factorization of 37464

Prime factors of 37464 are 2, 3, 7, 223. Prime factorization of 37464 in exponential form is:

37464 = 2³ × 3¹ × 7¹ × 223¹

Step-2: Prime Factorization of 37471

Prime factors of 37471 are 7, 53, 101. Prime factorization of 37471 in exponential form is:

37471 = 7¹ × 53¹ × 101¹

Step-3: Factors of 37464

List of positive integer factors of 37464 that divides 37464 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 223, 446, 669, 892, 1338, 1561, 1784, 2676, 3122, 4683, 5352, 6244, 9366, 12488, 18732

Step-4: Factors of 37471

List of positive integer factors of 37471 that divides 37464 without a remainder.

1, 7, 53, 101, 371, 707, 5353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37464 and 37471. The biggest common factor number is the GCF number.
So the greatest common factor 37464 and 37471 is 7.

Also check out the Least Common Multiple of 37464 and 37471