What is the Greatest Common Factor of 34076 and 34090?

Greatest common factor (GCF) of 34076 and 34090 is 14.

GCF(34076,34090) = 14

We will now calculate the prime factors of 34076 and 34090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34076 and 34090.

How to find the GCF of 34076 and 34090?

We will first find the prime factorization of 34076 and 34090. After we will calculate the factors of 34076 and 34090 and find the biggest common factor number .

Step-1: Prime Factorization of 34076

Prime factors of 34076 are 2, 7, 1217. Prime factorization of 34076 in exponential form is:

34076 = 2² × 7¹ × 1217¹

Step-2: Prime Factorization of 34090

Prime factors of 34090 are 2, 5, 7, 487. Prime factorization of 34090 in exponential form is:

34090 = 2¹ × 5¹ × 7¹ × 487¹

Step-3: Factors of 34076

List of positive integer factors of 34076 that divides 34076 without a remainder.

1, 2, 4, 7, 14, 28, 1217, 2434, 4868, 8519, 17038

Step-4: Factors of 34090

List of positive integer factors of 34090 that divides 34076 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 487, 974, 2435, 3409, 4870, 6818, 17045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34076 and 34090. The biggest common factor number is the GCF number.
So the greatest common factor 34076 and 34090 is 14.

Also check out the Least Common Multiple of 34076 and 34090