What is the Greatest Common Factor of 42416 and 42436?

Greatest common factor (GCF) of 42416 and 42436 is 4.

GCF(42416,42436) = 4

We will now calculate the prime factors of 42416 and 42436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42416 and 42436.

How to find the GCF of 42416 and 42436?

We will first find the prime factorization of 42416 and 42436. After we will calculate the factors of 42416 and 42436 and find the biggest common factor number .

Step-1: Prime Factorization of 42416

Prime factors of 42416 are 2, 11, 241. Prime factorization of 42416 in exponential form is:

42416 = 2⁴ × 11¹ × 241¹

Step-2: Prime Factorization of 42436

Prime factors of 42436 are 2, 103. Prime factorization of 42436 in exponential form is:

42436 = 2² × 103²

Step-3: Factors of 42416

List of positive integer factors of 42416 that divides 42416 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 241, 482, 964, 1928, 2651, 3856, 5302, 10604, 21208

Step-4: Factors of 42436

List of positive integer factors of 42436 that divides 42416 without a remainder.

1, 2, 4, 103, 206, 412, 10609, 21218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42416 and 42436. The biggest common factor number is the GCF number.
So the greatest common factor 42416 and 42436 is 4.

Also check out the Least Common Multiple of 42416 and 42436