What is the Greatest Common Factor of 8354 and 8370?

Greatest common factor (GCF) of 8354 and 8370 is 2.

GCF(8354,8370) = 2

We will now calculate the prime factors of 8354 and 8370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8354 and 8370.

How to find the GCF of 8354 and 8370?

We will first find the prime factorization of 8354 and 8370. After we will calculate the factors of 8354 and 8370 and find the biggest common factor number .

Step-1: Prime Factorization of 8354

Prime factors of 8354 are 2, 4177. Prime factorization of 8354 in exponential form is:

8354 = 2¹ × 4177¹

Step-2: Prime Factorization of 8370

Prime factors of 8370 are 2, 3, 5, 31. Prime factorization of 8370 in exponential form is:

8370 = 2¹ × 3³ × 5¹ × 31¹

Step-3: Factors of 8354

List of positive integer factors of 8354 that divides 8354 without a remainder.

1, 2, 4177

Step-4: Factors of 8370

List of positive integer factors of 8370 that divides 8354 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8354 and 8370. The biggest common factor number is the GCF number.
So the greatest common factor 8354 and 8370 is 2.

Also check out the Least Common Multiple of 8354 and 8370