What is the Greatest Common Factor of 37229 and 37248?

Greatest common factor (GCF) of 37229 and 37248 is 1.

GCF(37229,37248) = 1

We will now calculate the prime factors of 37229 and 37248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37229 and 37248.

How to find the GCF of 37229 and 37248?

We will first find the prime factorization of 37229 and 37248. After we will calculate the factors of 37229 and 37248 and find the biggest common factor number .

Step-1: Prime Factorization of 37229

Prime factors of 37229 are 59, 631. Prime factorization of 37229 in exponential form is:

37229 = 59¹ × 631¹

Step-2: Prime Factorization of 37248

Prime factors of 37248 are 2, 3, 97. Prime factorization of 37248 in exponential form is:

37248 = 2⁷ × 3¹ × 97¹

Step-3: Factors of 37229

List of positive integer factors of 37229 that divides 37229 without a remainder.

1, 59, 631

Step-4: Factors of 37248

List of positive integer factors of 37248 that divides 37229 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 97, 128, 192, 194, 291, 384, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 6208, 9312, 12416, 18624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37229 and 37248. The biggest common factor number is the GCF number.
So the greatest common factor 37229 and 37248 is 1.

Also check out the Least Common Multiple of 37229 and 37248