What is the Greatest Common Factor of 70716 and 70728?

Greatest common factor (GCF) of 70716 and 70728 is 12.

GCF(70716,70728) = 12

We will now calculate the prime factors of 70716 and 70728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70716 and 70728.

How to find the GCF of 70716 and 70728?

We will first find the prime factorization of 70716 and 70728. After we will calculate the factors of 70716 and 70728 and find the biggest common factor number .

Step-1: Prime Factorization of 70716

Prime factors of 70716 are 2, 3, 71, 83. Prime factorization of 70716 in exponential form is:

70716 = 2² × 3¹ × 71¹ × 83¹

Step-2: 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-3: Factors of 70716

List of positive integer factors of 70716 that divides 70716 without a remainder.

1, 2, 3, 4, 6, 12, 71, 83, 142, 166, 213, 249, 284, 332, 426, 498, 852, 996, 5893, 11786, 17679, 23572, 35358

Step-4: Factors of 70728

List of positive integer factors of 70728 that divides 70716 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70716 and 70728. The biggest common factor number is the GCF number.
So the greatest common factor 70716 and 70728 is 12.

Also check out the Least Common Multiple of 70716 and 70728