What is the Greatest Common Factor of 37170 and 37177?

Greatest common factor (GCF) of 37170 and 37177 is 7.

GCF(37170,37177) = 7

We will now calculate the prime factors of 37170 and 37177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37170 and 37177.

How to find the GCF of 37170 and 37177?

We will first find the prime factorization of 37170 and 37177. After we will calculate the factors of 37170 and 37177 and find the biggest common factor number .

Step-1: Prime Factorization of 37170

Prime factors of 37170 are 2, 3, 5, 7, 59. Prime factorization of 37170 in exponential form is:

37170 = 2¹ × 3² × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 37177

Prime factors of 37177 are 7, 47, 113. Prime factorization of 37177 in exponential form is:

37177 = 7¹ × 47¹ × 113¹

Step-3: Factors of 37170

List of positive integer factors of 37170 that divides 37170 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 59, 63, 70, 90, 105, 118, 126, 177, 210, 295, 315, 354, 413, 531, 590, 630, 826, 885, 1062, 1239, 1770, 2065, 2478, 2655, 3717, 4130, 5310, 6195, 7434, 12390, 18585

Step-4: Factors of 37177

List of positive integer factors of 37177 that divides 37170 without a remainder.

1, 7, 47, 113, 329, 791, 5311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37170 and 37177. The biggest common factor number is the GCF number.
So the greatest common factor 37170 and 37177 is 7.

Also check out the Least Common Multiple of 37170 and 37177