What is the Greatest Common Factor of 70416 and 70428?

Greatest common factor (GCF) of 70416 and 70428 is 12.

GCF(70416,70428) = 12

We will now calculate the prime factors of 70416 and 70428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70416 and 70428.

How to find the GCF of 70416 and 70428?

We will first find the prime factorization of 70416 and 70428. After we will calculate the factors of 70416 and 70428 and find the biggest common factor number .

Step-1: Prime Factorization of 70416

Prime factors of 70416 are 2, 3, 163. Prime factorization of 70416 in exponential form is:

70416 = 2⁴ × 3³ × 163¹

Step-2: Prime Factorization of 70428

Prime factors of 70428 are 2, 3, 5869. Prime factorization of 70428 in exponential form is:

70428 = 2² × 3¹ × 5869¹

Step-3: Factors of 70416

List of positive integer factors of 70416 that divides 70416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 163, 216, 326, 432, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 4401, 5868, 7824, 8802, 11736, 17604, 23472, 35208

Step-4: Factors of 70428

List of positive integer factors of 70428 that divides 70416 without a remainder.

1, 2, 3, 4, 6, 12, 5869, 11738, 17607, 23476, 35214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70416 and 70428. The biggest common factor number is the GCF number.
So the greatest common factor 70416 and 70428 is 12.

Also check out the Least Common Multiple of 70416 and 70428