What is the Greatest Common Factor of 37448 and 37459?

Greatest common factor (GCF) of 37448 and 37459 is 1.

GCF(37448,37459) = 1

We will now calculate the prime factors of 37448 and 37459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37448 and 37459.

How to find the GCF of 37448 and 37459?

We will first find the prime factorization of 37448 and 37459. After we will calculate the factors of 37448 and 37459 and find the biggest common factor number .

Step-1: Prime Factorization of 37448

Prime factors of 37448 are 2, 31, 151. Prime factorization of 37448 in exponential form is:

37448 = 2³ × 31¹ × 151¹

Step-2: Prime Factorization of 37459

Prime factors of 37459 are 47, 797. Prime factorization of 37459 in exponential form is:

37459 = 47¹ × 797¹

Step-3: Factors of 37448

List of positive integer factors of 37448 that divides 37448 without a remainder.

1, 2, 4, 8, 31, 62, 124, 151, 248, 302, 604, 1208, 4681, 9362, 18724

Step-4: Factors of 37459

List of positive integer factors of 37459 that divides 37448 without a remainder.

1, 47, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37448 and 37459. The biggest common factor number is the GCF number.
So the greatest common factor 37448 and 37459 is 1.

Also check out the Least Common Multiple of 37448 and 37459