What is the Greatest Common Factor of 34260 and 34270?

Greatest common factor (GCF) of 34260 and 34270 is 10.

GCF(34260,34270) = 10

We will now calculate the prime factors of 34260 and 34270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34260 and 34270.

How to find the GCF of 34260 and 34270?

We will first find the prime factorization of 34260 and 34270. After we will calculate the factors of 34260 and 34270 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 34270

Prime factors of 34270 are 2, 5, 23, 149. Prime factorization of 34270 in exponential form is:

34270 = 2¹ × 5¹ × 23¹ × 149¹

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 34270

List of positive integer factors of 34270 that divides 34260 without a remainder.

1, 2, 5, 10, 23, 46, 115, 149, 230, 298, 745, 1490, 3427, 6854, 17135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34260 and 34270. The biggest common factor number is the GCF number.
So the greatest common factor 34260 and 34270 is 10.

Also check out the Least Common Multiple of 34260 and 34270