What is the Greatest Common Factor of 70416 and 70424?

Greatest common factor (GCF) of 70416 and 70424 is 8.

GCF(70416,70424) = 8

We will now calculate the prime factors of 70416 and 70424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70416 and 70424.

How to find the GCF of 70416 and 70424?

We will first find the prime factorization of 70416 and 70424. After we will calculate the factors of 70416 and 70424 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 70424

Prime factors of 70424 are 2, 8803. Prime factorization of 70424 in exponential form is:

70424 = 2³ × 8803¹

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 70424

List of positive integer factors of 70424 that divides 70416 without a remainder.

1, 2, 4, 8, 8803, 17606, 35212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70416 and 70424. The biggest common factor number is the GCF number.
So the greatest common factor 70416 and 70424 is 8.

Also check out the Least Common Multiple of 70416 and 70424