What is the Greatest Common Factor of 42416 and 42423?

Greatest common factor (GCF) of 42416 and 42423 is 1.

GCF(42416,42423) = 1

We will now calculate the prime factors of 42416 and 42423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42416 and 42423.

How to find the GCF of 42416 and 42423?

We will first find the prime factorization of 42416 and 42423. After we will calculate the factors of 42416 and 42423 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 42423

Prime factors of 42423 are 3, 79, 179. Prime factorization of 42423 in exponential form is:

42423 = 3¹ × 79¹ × 179¹

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 42423

List of positive integer factors of 42423 that divides 42416 without a remainder.

1, 3, 79, 179, 237, 537, 14141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42416 and 42423. The biggest common factor number is the GCF number.
So the greatest common factor 42416 and 42423 is 1.

Also check out the Least Common Multiple of 42416 and 42423