What is the Greatest Common Factor of 70733 and 70746?

Greatest common factor (GCF) of 70733 and 70746 is 13.

GCF(70733,70746) = 13

We will now calculate the prime factors of 70733 and 70746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70733 and 70746.

How to find the GCF of 70733 and 70746?

We will first find the prime factorization of 70733 and 70746. After we will calculate the factors of 70733 and 70746 and find the biggest common factor number .

Step-1: Prime Factorization of 70733

Prime factors of 70733 are 13, 5441. Prime factorization of 70733 in exponential form is:

70733 = 13¹ × 5441¹

Step-2: 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-3: Factors of 70733

List of positive integer factors of 70733 that divides 70733 without a remainder.

1, 13, 5441

Step-4: Factors of 70746

List of positive integer factors of 70746 that divides 70733 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70733 and 70746. The biggest common factor number is the GCF number.
So the greatest common factor 70733 and 70746 is 13.

Also check out the Least Common Multiple of 70733 and 70746