What is the Greatest Common Factor of 37195 and 37209?

Greatest common factor (GCF) of 37195 and 37209 is 1.

GCF(37195,37209) = 1

We will now calculate the prime factors of 37195 and 37209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37195 and 37209.

How to find the GCF of 37195 and 37209?

We will first find the prime factorization of 37195 and 37209. After we will calculate the factors of 37195 and 37209 and find the biggest common factor number .

Step-1: Prime Factorization of 37195

Prime factors of 37195 are 5, 43, 173. Prime factorization of 37195 in exponential form is:

37195 = 5¹ × 43¹ × 173¹

Step-2: Prime Factorization of 37209

Prime factors of 37209 are 3, 79, 157. Prime factorization of 37209 in exponential form is:

37209 = 3¹ × 79¹ × 157¹

Step-3: Factors of 37195

List of positive integer factors of 37195 that divides 37195 without a remainder.

1, 5, 43, 173, 215, 865, 7439

Step-4: Factors of 37209

List of positive integer factors of 37209 that divides 37195 without a remainder.

1, 3, 79, 157, 237, 471, 12403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37195 and 37209. The biggest common factor number is the GCF number.
So the greatest common factor 37195 and 37209 is 1.

Also check out the Least Common Multiple of 37195 and 37209