What is the Greatest Common Factor of 370 and 390?

Greatest common factor (GCF) of 370 and 390 is 10.

GCF(370,390) = 10

We will now calculate the prime factors of 370 and 390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 370 and 390.

How to find the GCF of 370 and 390?

We will first find the prime factorization of 370 and 390. After we will calculate the factors of 370 and 390 and find the biggest common factor number .

Step-1: Prime Factorization of 370

Prime factors of 370 are 2, 5, 37. Prime factorization of 370 in exponential form is:

370 = 2¹ × 5¹ × 37¹

Step-2: Prime Factorization of 390

Prime factors of 390 are 2, 3, 5, 13. Prime factorization of 390 in exponential form is:

390 = 2¹ × 3¹ × 5¹ × 13¹

Step-3: Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185

Step-4: Factors of 390

List of positive integer factors of 390 that divides 370 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 370 and 390. The biggest common factor number is the GCF number.
So the greatest common factor 370 and 390 is 10.

Also check out the Least Common Multiple of 370 and 390