What is the Greatest Common Factor of 70746 and 70759?

Greatest common factor (GCF) of 70746 and 70759 is 13.

GCF(70746,70759) = 13

We will now calculate the prime factors of 70746 and 70759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70746 and 70759.

How to find the GCF of 70746 and 70759?

We will first find the prime factorization of 70746 and 70759. After we will calculate the factors of 70746 and 70759 and find the biggest common factor number .

Step-1: Prime Factorization of 70746

Prime factors of 70746 are 2, 3, 13, 907. Prime factorization of 70746 in exponential form is:

70746 = 2¹ × 3¹ × 13¹ × 907¹

Step-2: Prime Factorization of 70759

Prime factors of 70759 are 13, 5443. Prime factorization of 70759 in exponential form is:

70759 = 13¹ × 5443¹

Step-3: Factors of 70746

List of positive integer factors of 70746 that divides 70746 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 907, 1814, 2721, 5442, 11791, 23582, 35373

Step-4: Factors of 70759

List of positive integer factors of 70759 that divides 70746 without a remainder.

1, 13, 5443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70746 and 70759. The biggest common factor number is the GCF number.
So the greatest common factor 70746 and 70759 is 13.

Also check out the Least Common Multiple of 70746 and 70759