What is the Greatest Common Factor of 34260 and 34274?

Greatest common factor (GCF) of 34260 and 34274 is 2.

GCF(34260,34274) = 2

We will now calculate the prime factors of 34260 and 34274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34260 and 34274.

How to find the GCF of 34260 and 34274?

We will first find the prime factorization of 34260 and 34274. After we will calculate the factors of 34260 and 34274 and find the biggest common factor number .

Step-1: Prime Factorization of 34260

Prime factors of 34260 are 2, 3, 5, 571. Prime factorization of 34260 in exponential form is:

34260 = 2² × 3¹ × 5¹ × 571¹

Step-2: Prime Factorization of 34274

Prime factors of 34274 are 2, 17137. Prime factorization of 34274 in exponential form is:

34274 = 2¹ × 17137¹

Step-3: Factors of 34260

List of positive integer factors of 34260 that divides 34260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 571, 1142, 1713, 2284, 2855, 3426, 5710, 6852, 8565, 11420, 17130

Step-4: Factors of 34274

List of positive integer factors of 34274 that divides 34260 without a remainder.

1, 2, 17137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34260 and 34274. The biggest common factor number is the GCF number.
So the greatest common factor 34260 and 34274 is 2.

Also check out the Least Common Multiple of 34260 and 34274