What is the Greatest Common Factor of 351 and 370?

Greatest common factor (GCF) of 351 and 370 is 1.

GCF(351,370) = 1

We will now calculate the prime factors of 351 and 370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 351 and 370.

How to find the GCF of 351 and 370?

We will first find the prime factorization of 351 and 370. After we will calculate the factors of 351 and 370 and find the biggest common factor number .

Step-1: Prime Factorization of 351

Prime factors of 351 are 3, 13. Prime factorization of 351 in exponential form is:

351 = 3³ × 13¹

Step-2: 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-3: Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117

Step-4: Factors of 370

List of positive integer factors of 370 that divides 351 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 351 and 370. The biggest common factor number is the GCF number.
So the greatest common factor 351 and 370 is 1.

Also check out the Least Common Multiple of 351 and 370