What is the Greatest Common Factor of 37448 and 37454?

Greatest common factor (GCF) of 37448 and 37454 is 2.

GCF(37448,37454) = 2

We will now calculate the prime factors of 37448 and 37454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37448 and 37454.

How to find the GCF of 37448 and 37454?

We will first find the prime factorization of 37448 and 37454. After we will calculate the factors of 37448 and 37454 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 37454

Prime factors of 37454 are 2, 61, 307. Prime factorization of 37454 in exponential form is:

37454 = 2¹ × 61¹ × 307¹

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 37454

List of positive integer factors of 37454 that divides 37448 without a remainder.

1, 2, 61, 122, 307, 614, 18727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37448 and 37454. The biggest common factor number is the GCF number.
So the greatest common factor 37448 and 37454 is 2.

Also check out the Least Common Multiple of 37448 and 37454