What is the Greatest Common Factor of 70728 and 70746?

Greatest common factor (GCF) of 70728 and 70746 is 6.

GCF(70728,70746) = 6

We will now calculate the prime factors of 70728 and 70746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70728 and 70746.

How to find the GCF of 70728 and 70746?

We will first find the prime factorization of 70728 and 70746. After we will calculate the factors of 70728 and 70746 and find the biggest common factor number .

Step-1: Prime Factorization of 70728

Prime factors of 70728 are 2, 3, 7, 421. Prime factorization of 70728 in exponential form is:

70728 = 2³ × 3¹ × 7¹ × 421¹

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 70728

List of positive integer factors of 70728 that divides 70728 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 421, 842, 1263, 1684, 2526, 2947, 3368, 5052, 5894, 8841, 10104, 11788, 17682, 23576, 35364

Step-4: Factors of 70746

List of positive integer factors of 70746 that divides 70728 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 70728 and 70746. The biggest common factor number is the GCF number.
So the greatest common factor 70728 and 70746 is 6.

Also check out the Least Common Multiple of 70728 and 70746