What is the Greatest Common Factor of 37290 and 37308?

Greatest common factor (GCF) of 37290 and 37308 is 6.

GCF(37290,37308) = 6

We will now calculate the prime factors of 37290 and 37308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37290 and 37308.

How to find the GCF of 37290 and 37308?

We will first find the prime factorization of 37290 and 37308. After we will calculate the factors of 37290 and 37308 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37308

Prime factors of 37308 are 2, 3, 3109. Prime factorization of 37308 in exponential form is:

37308 = 2² × 3¹ × 3109¹

Step-3: Factors of 37290

List of positive integer factors of 37290 that divides 37290 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

Step-4: Factors of 37308

List of positive integer factors of 37308 that divides 37290 without a remainder.

1, 2, 3, 4, 6, 12, 3109, 6218, 9327, 12436, 18654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37290 and 37308. The biggest common factor number is the GCF number.
So the greatest common factor 37290 and 37308 is 6.

Also check out the Least Common Multiple of 37290 and 37308