What is the Greatest Common Factor of 42423 and 42435?

Greatest common factor (GCF) of 42423 and 42435 is 3.

GCF(42423,42435) = 3

We will now calculate the prime factors of 42423 and 42435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42423 and 42435.

How to find the GCF of 42423 and 42435?

We will first find the prime factorization of 42423 and 42435. After we will calculate the factors of 42423 and 42435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42435

Prime factors of 42435 are 3, 5, 23, 41. Prime factorization of 42435 in exponential form is:

42435 = 3² × 5¹ × 23¹ × 41¹

Step-3: Factors of 42423

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

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

Step-4: Factors of 42435

List of positive integer factors of 42435 that divides 42423 without a remainder.

1, 3, 5, 9, 15, 23, 41, 45, 69, 115, 123, 205, 207, 345, 369, 615, 943, 1035, 1845, 2829, 4715, 8487, 14145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42423 and 42435. The biggest common factor number is the GCF number.
So the greatest common factor 42423 and 42435 is 3.

Also check out the Least Common Multiple of 42423 and 42435