What is the Greatest Common Factor of 37195 and 37210?

Greatest common factor (GCF) of 37195 and 37210 is 5.

GCF(37195,37210) = 5

We will now calculate the prime factors of 37195 and 37210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37195 and 37210.

How to find the GCF of 37195 and 37210?

We will first find the prime factorization of 37195 and 37210. After we will calculate the factors of 37195 and 37210 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 37210

Prime factors of 37210 are 2, 5, 61. Prime factorization of 37210 in exponential form is:

37210 = 2¹ × 5¹ × 61²

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 37210

List of positive integer factors of 37210 that divides 37195 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610, 3721, 7442, 18605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37195 and 37210. The biggest common factor number is the GCF number.
So the greatest common factor 37195 and 37210 is 5.

Also check out the Least Common Multiple of 37195 and 37210