What is the Greatest Common Factor of 34270 and 34280?

Greatest common factor (GCF) of 34270 and 34280 is 10.

GCF(34270,34280) = 10

We will now calculate the prime factors of 34270 and 34280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34270 and 34280.

How to find the GCF of 34270 and 34280?

We will first find the prime factorization of 34270 and 34280. After we will calculate the factors of 34270 and 34280 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34280

Prime factors of 34280 are 2, 5, 857. Prime factorization of 34280 in exponential form is:

34280 = 2³ × 5¹ × 857¹

Step-3: Factors of 34270

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

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

Step-4: Factors of 34280

List of positive integer factors of 34280 that divides 34270 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 857, 1714, 3428, 4285, 6856, 8570, 17140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34270 and 34280. The biggest common factor number is the GCF number.
So the greatest common factor 34270 and 34280 is 10.

Also check out the Least Common Multiple of 34270 and 34280