What is the Greatest Common Factor of 70681 and 70694?

Greatest common factor (GCF) of 70681 and 70694 is 13.

GCF(70681,70694) = 13

We will now calculate the prime factors of 70681 and 70694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70681 and 70694.

How to find the GCF of 70681 and 70694?

We will first find the prime factorization of 70681 and 70694. After we will calculate the factors of 70681 and 70694 and find the biggest common factor number .

Step-1: Prime Factorization of 70681

Prime factors of 70681 are 13, 5437. Prime factorization of 70681 in exponential form is:

70681 = 13¹ × 5437¹

Step-2: Prime Factorization of 70694

Prime factors of 70694 are 2, 13, 2719. Prime factorization of 70694 in exponential form is:

70694 = 2¹ × 13¹ × 2719¹

Step-3: Factors of 70681

List of positive integer factors of 70681 that divides 70681 without a remainder.

1, 13, 5437

Step-4: Factors of 70694

List of positive integer factors of 70694 that divides 70681 without a remainder.

1, 2, 13, 26, 2719, 5438, 35347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70681 and 70694. The biggest common factor number is the GCF number.
So the greatest common factor 70681 and 70694 is 13.

Also check out the Least Common Multiple of 70681 and 70694