What is the Greatest Common Factor of 37075 and 37091?

Greatest common factor (GCF) of 37075 and 37091 is 1.

GCF(37075,37091) = 1

We will now calculate the prime factors of 37075 and 37091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37075 and 37091.

How to find the GCF of 37075 and 37091?

We will first find the prime factorization of 37075 and 37091. After we will calculate the factors of 37075 and 37091 and find the biggest common factor number .

Step-1: Prime Factorization of 37075

Prime factors of 37075 are 5, 1483. Prime factorization of 37075 in exponential form is:

37075 = 5² × 1483¹

Step-2: Prime Factorization of 37091

Prime factors of 37091 are 29, 1279. Prime factorization of 37091 in exponential form is:

37091 = 29¹ × 1279¹

Step-3: Factors of 37075

List of positive integer factors of 37075 that divides 37075 without a remainder.

1, 5, 25, 1483, 7415

Step-4: Factors of 37091

List of positive integer factors of 37091 that divides 37075 without a remainder.

1, 29, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37075 and 37091. The biggest common factor number is the GCF number.
So the greatest common factor 37075 and 37091 is 1.

Also check out the Least Common Multiple of 37075 and 37091