What is the Greatest Common Factor of 34970 and 34982?

Greatest common factor (GCF) of 34970 and 34982 is 2.

GCF(34970,34982) = 2

We will now calculate the prime factors of 34970 and 34982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34970 and 34982.

How to find the GCF of 34970 and 34982?

We will first find the prime factorization of 34970 and 34982. After we will calculate the factors of 34970 and 34982 and find the biggest common factor number .

Step-1: Prime Factorization of 34970

Prime factors of 34970 are 2, 5, 13, 269. Prime factorization of 34970 in exponential form is:

34970 = 2¹ × 5¹ × 13¹ × 269¹

Step-2: Prime Factorization of 34982

Prime factors of 34982 are 2, 17491. Prime factorization of 34982 in exponential form is:

34982 = 2¹ × 17491¹

Step-3: Factors of 34970

List of positive integer factors of 34970 that divides 34970 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 269, 538, 1345, 2690, 3497, 6994, 17485

Step-4: Factors of 34982

List of positive integer factors of 34982 that divides 34970 without a remainder.

1, 2, 17491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34970 and 34982. The biggest common factor number is the GCF number.
So the greatest common factor 34970 and 34982 is 2.

Also check out the Least Common Multiple of 34970 and 34982