What is the Greatest Common Factor of 37153 and 37173?

Greatest common factor (GCF) of 37153 and 37173 is 1.

GCF(37153,37173) = 1

We will now calculate the prime factors of 37153 and 37173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37153 and 37173.

How to find the GCF of 37153 and 37173?

We will first find the prime factorization of 37153 and 37173. After we will calculate the factors of 37153 and 37173 and find the biggest common factor number .

Step-1: Prime Factorization of 37153

Prime factors of 37153 are 53, 701. Prime factorization of 37153 in exponential form is:

37153 = 53¹ × 701¹

Step-2: Prime Factorization of 37173

Prime factors of 37173 are 3, 12391. Prime factorization of 37173 in exponential form is:

37173 = 3¹ × 12391¹

Step-3: Factors of 37153

List of positive integer factors of 37153 that divides 37153 without a remainder.

1, 53, 701

Step-4: Factors of 37173

List of positive integer factors of 37173 that divides 37153 without a remainder.

1, 3, 12391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37153 and 37173. The biggest common factor number is the GCF number.
So the greatest common factor 37153 and 37173 is 1.

Also check out the Least Common Multiple of 37153 and 37173