What is the Greatest Common Factor of 42208 and 42220?

Greatest common factor (GCF) of 42208 and 42220 is 4.

GCF(42208,42220) = 4

We will now calculate the prime factors of 42208 and 42220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42208 and 42220.

How to find the GCF of 42208 and 42220?

We will first find the prime factorization of 42208 and 42220. After we will calculate the factors of 42208 and 42220 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 42220

Prime factors of 42220 are 2, 5, 2111. Prime factorization of 42220 in exponential form is:

42220 = 2² × 5¹ × 2111¹

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 42220

List of positive integer factors of 42220 that divides 42208 without a remainder.

1, 2, 4, 5, 10, 20, 2111, 4222, 8444, 10555, 21110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42208 and 42220. The biggest common factor number is the GCF number.
So the greatest common factor 42208 and 42220 is 4.

Also check out the Least Common Multiple of 42208 and 42220