What is the Greatest Common Factor of 70416 and 70432?

Greatest common factor (GCF) of 70416 and 70432 is 16.

GCF(70416,70432) = 16

We will now calculate the prime factors of 70416 and 70432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70416 and 70432.

How to find the GCF of 70416 and 70432?

We will first find the prime factorization of 70416 and 70432. After we will calculate the factors of 70416 and 70432 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 70432

Prime factors of 70432 are 2, 31, 71. Prime factorization of 70432 in exponential form is:

70432 = 2⁵ × 31¹ × 71¹

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 70432

List of positive integer factors of 70432 that divides 70416 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 71, 124, 142, 248, 284, 496, 568, 992, 1136, 2201, 2272, 4402, 8804, 17608, 35216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70416 and 70432. The biggest common factor number is the GCF number.
So the greatest common factor 70416 and 70432 is 16.

Also check out the Least Common Multiple of 70416 and 70432