What is the Greatest Common Factor of 37149 and 37157?

Greatest common factor (GCF) of 37149 and 37157 is 1.

GCF(37149,37157) = 1

We will now calculate the prime factors of 37149 and 37157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37149 and 37157.

How to find the GCF of 37149 and 37157?

We will first find the prime factorization of 37149 and 37157. After we will calculate the factors of 37149 and 37157 and find the biggest common factor number .

Step-1: Prime Factorization of 37149

Prime factors of 37149 are 3, 7, 29, 61. Prime factorization of 37149 in exponential form is:

37149 = 3¹ × 7¹ × 29¹ × 61¹

Step-2: Prime Factorization of 37157

Prime factors of 37157 are 73, 509. Prime factorization of 37157 in exponential form is:

37157 = 73¹ × 509¹

Step-3: Factors of 37149

List of positive integer factors of 37149 that divides 37149 without a remainder.

1, 3, 7, 21, 29, 61, 87, 183, 203, 427, 609, 1281, 1769, 5307, 12383

Step-4: Factors of 37157

List of positive integer factors of 37157 that divides 37149 without a remainder.

1, 73, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37149 and 37157. The biggest common factor number is the GCF number.
So the greatest common factor 37149 and 37157 is 1.

Also check out the Least Common Multiple of 37149 and 37157