What is the Greatest Common Factor of 37275 and 37290?

Greatest common factor (GCF) of 37275 and 37290 is 15.

GCF(37275,37290) = 15

We will now calculate the prime factors of 37275 and 37290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37275 and 37290.

How to find the GCF of 37275 and 37290?

We will first find the prime factorization of 37275 and 37290. After we will calculate the factors of 37275 and 37290 and find the biggest common factor number .

Step-1: Prime Factorization of 37275

Prime factors of 37275 are 3, 5, 7, 71. Prime factorization of 37275 in exponential form is:

37275 = 3¹ × 5² × 7¹ × 71¹

Step-2: Prime Factorization of 37290

Prime factors of 37290 are 2, 3, 5, 11, 113. Prime factorization of 37290 in exponential form is:

37290 = 2¹ × 3¹ × 5¹ × 11¹ × 113¹

Step-3: Factors of 37275

List of positive integer factors of 37275 that divides 37275 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 71, 75, 105, 175, 213, 355, 497, 525, 1065, 1491, 1775, 2485, 5325, 7455, 12425

Step-4: Factors of 37290

List of positive integer factors of 37290 that divides 37275 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 113, 165, 226, 330, 339, 565, 678, 1130, 1243, 1695, 2486, 3390, 3729, 6215, 7458, 12430, 18645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37275 and 37290. The biggest common factor number is the GCF number.
So the greatest common factor 37275 and 37290 is 15.

Also check out the Least Common Multiple of 37275 and 37290