What is the Greatest Common Factor of 37448 and 37468?

Greatest common factor (GCF) of 37448 and 37468 is 4.

GCF(37448,37468) = 4

We will now calculate the prime factors of 37448 and 37468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37448 and 37468.

How to find the GCF of 37448 and 37468?

We will first find the prime factorization of 37448 and 37468. After we will calculate the factors of 37448 and 37468 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 37468

Prime factors of 37468 are 2, 17, 19, 29. Prime factorization of 37468 in exponential form is:

37468 = 2² × 17¹ × 19¹ × 29¹

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 37468

List of positive integer factors of 37468 that divides 37448 without a remainder.

1, 2, 4, 17, 19, 29, 34, 38, 58, 68, 76, 116, 323, 493, 551, 646, 986, 1102, 1292, 1972, 2204, 9367, 18734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37448 and 37468. The biggest common factor number is the GCF number.
So the greatest common factor 37448 and 37468 is 4.

Also check out the Least Common Multiple of 37448 and 37468