What is the Greatest Common Factor of 37130 and 37135?

Greatest common factor (GCF) of 37130 and 37135 is 5.

GCF(37130,37135) = 5

We will now calculate the prime factors of 37130 and 37135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37130 and 37135.

How to find the GCF of 37130 and 37135?

We will first find the prime factorization of 37130 and 37135. After we will calculate the factors of 37130 and 37135 and find the biggest common factor number .

Step-1: Prime Factorization of 37130

Prime factors of 37130 are 2, 5, 47, 79. Prime factorization of 37130 in exponential form is:

37130 = 2¹ × 5¹ × 47¹ × 79¹

Step-2: Prime Factorization of 37135

Prime factors of 37135 are 5, 7, 1061. Prime factorization of 37135 in exponential form is:

37135 = 5¹ × 7¹ × 1061¹

Step-3: Factors of 37130

List of positive integer factors of 37130 that divides 37130 without a remainder.

1, 2, 5, 10, 47, 79, 94, 158, 235, 395, 470, 790, 3713, 7426, 18565

Step-4: Factors of 37135

List of positive integer factors of 37135 that divides 37130 without a remainder.

1, 5, 7, 35, 1061, 5305, 7427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37130 and 37135. The biggest common factor number is the GCF number.
So the greatest common factor 37130 and 37135 is 5.

Also check out the Least Common Multiple of 37130 and 37135