What is the Greatest Common Factor of 37392 and 37411?

Greatest common factor (GCF) of 37392 and 37411 is 19.

GCF(37392,37411) = 19

We will now calculate the prime factors of 37392 and 37411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37392 and 37411.

How to find the GCF of 37392 and 37411?

We will first find the prime factorization of 37392 and 37411. After we will calculate the factors of 37392 and 37411 and find the biggest common factor number .

Step-1: Prime Factorization of 37392

Prime factors of 37392 are 2, 3, 19, 41. Prime factorization of 37392 in exponential form is:

37392 = 2⁴ × 3¹ × 19¹ × 41¹

Step-2: Prime Factorization of 37411

Prime factors of 37411 are 11, 19, 179. Prime factorization of 37411 in exponential form is:

37411 = 11¹ × 19¹ × 179¹

Step-3: Factors of 37392

List of positive integer factors of 37392 that divides 37392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 41, 48, 57, 76, 82, 114, 123, 152, 164, 228, 246, 304, 328, 456, 492, 656, 779, 912, 984, 1558, 1968, 2337, 3116, 4674, 6232, 9348, 12464, 18696

Step-4: Factors of 37411

List of positive integer factors of 37411 that divides 37392 without a remainder.

1, 11, 19, 179, 209, 1969, 3401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37392 and 37411. The biggest common factor number is the GCF number.
So the greatest common factor 37392 and 37411 is 19.

Also check out the Least Common Multiple of 37392 and 37411