What is the Greatest Common Factor of 42208 and 42216?

Greatest common factor (GCF) of 42208 and 42216 is 8.

GCF(42208,42216) = 8

We will now calculate the prime factors of 42208 and 42216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42208 and 42216.

How to find the GCF of 42208 and 42216?

We will first find the prime factorization of 42208 and 42216. After we will calculate the factors of 42208 and 42216 and find the biggest common factor number .

Step-1: Prime Factorization of 42208

Prime factors of 42208 are 2, 1319. Prime factorization of 42208 in exponential form is:

42208 = 2⁵ × 1319¹

Step-2: Prime Factorization of 42216

Prime factors of 42216 are 2, 3, 1759. Prime factorization of 42216 in exponential form is:

42216 = 2³ × 3¹ × 1759¹

Step-3: Factors of 42208

List of positive integer factors of 42208 that divides 42208 without a remainder.

1, 2, 4, 8, 16, 32, 1319, 2638, 5276, 10552, 21104

Step-4: Factors of 42216

List of positive integer factors of 42216 that divides 42208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1759, 3518, 5277, 7036, 10554, 14072, 21108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42208 and 42216. The biggest common factor number is the GCF number.
So the greatest common factor 42208 and 42216 is 8.

Also check out the Least Common Multiple of 42208 and 42216