What is the Greatest Common Factor of 34957 and 34970?

Greatest common factor (GCF) of 34957 and 34970 is 13.

GCF(34957,34970) = 13

We will now calculate the prime factors of 34957 and 34970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34957 and 34970.

How to find the GCF of 34957 and 34970?

We will first find the prime factorization of 34957 and 34970. After we will calculate the factors of 34957 and 34970 and find the biggest common factor number .

Step-1: Prime Factorization of 34957

Prime factors of 34957 are 13, 2689. Prime factorization of 34957 in exponential form is:

34957 = 13¹ × 2689¹

Step-2: 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-3: Factors of 34957

List of positive integer factors of 34957 that divides 34957 without a remainder.

1, 13, 2689

Step-4: Factors of 34970

List of positive integer factors of 34970 that divides 34957 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34957 and 34970. The biggest common factor number is the GCF number.
So the greatest common factor 34957 and 34970 is 13.

Also check out the Least Common Multiple of 34957 and 34970