What is the Greatest Common Factor of 37080 and 37095?

Greatest common factor (GCF) of 37080 and 37095 is 15.

GCF(37080,37095) = 15

We will now calculate the prime factors of 37080 and 37095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37080 and 37095.

How to find the GCF of 37080 and 37095?

We will first find the prime factorization of 37080 and 37095. After we will calculate the factors of 37080 and 37095 and find the biggest common factor number .

Step-1: Prime Factorization of 37080

Prime factors of 37080 are 2, 3, 5, 103. Prime factorization of 37080 in exponential form is:

37080 = 2³ × 3² × 5¹ × 103¹

Step-2: Prime Factorization of 37095

Prime factors of 37095 are 3, 5, 2473. Prime factorization of 37095 in exponential form is:

37095 = 3¹ × 5¹ × 2473¹

Step-3: Factors of 37080

List of positive integer factors of 37080 that divides 37080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 103, 120, 180, 206, 309, 360, 412, 515, 618, 824, 927, 1030, 1236, 1545, 1854, 2060, 2472, 3090, 3708, 4120, 4635, 6180, 7416, 9270, 12360, 18540

Step-4: Factors of 37095

List of positive integer factors of 37095 that divides 37080 without a remainder.

1, 3, 5, 15, 2473, 7419, 12365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37080 and 37095. The biggest common factor number is the GCF number.
So the greatest common factor 37080 and 37095 is 15.

Also check out the Least Common Multiple of 37080 and 37095