What is the Greatest Common Factor of 37065 and 37080?

Greatest common factor (GCF) of 37065 and 37080 is 15.

GCF(37065,37080) = 15

We will now calculate the prime factors of 37065 and 37080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37065 and 37080.

How to find the GCF of 37065 and 37080?

We will first find the prime factorization of 37065 and 37080. After we will calculate the factors of 37065 and 37080 and find the biggest common factor number .

Step-1: Prime Factorization of 37065

Prime factors of 37065 are 3, 5, 7, 353. Prime factorization of 37065 in exponential form is:

37065 = 3¹ × 5¹ × 7¹ × 353¹

Step-2: 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-3: Factors of 37065

List of positive integer factors of 37065 that divides 37065 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 353, 1059, 1765, 2471, 5295, 7413, 12355

Step-4: Factors of 37080

List of positive integer factors of 37080 that divides 37065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37065 and 37080. The biggest common factor number is the GCF number.
So the greatest common factor 37065 and 37080 is 15.

Also check out the Least Common Multiple of 37065 and 37080