What is the Greatest Common Factor of 42462 and 42479?

Greatest common factor (GCF) of 42462 and 42479 is 1.

GCF(42462,42479) = 1

We will now calculate the prime factors of 42462 and 42479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42462 and 42479.

How to find the GCF of 42462 and 42479?

We will first find the prime factorization of 42462 and 42479. After we will calculate the factors of 42462 and 42479 and find the biggest common factor number .

Step-1: Prime Factorization of 42462

Prime factors of 42462 are 2, 3, 7, 337. Prime factorization of 42462 in exponential form is:

42462 = 2¹ × 3² × 7¹ × 337¹

Step-2: Prime Factorization of 42479

Prime factors of 42479 are 107, 397. Prime factorization of 42479 in exponential form is:

42479 = 107¹ × 397¹

Step-3: Factors of 42462

List of positive integer factors of 42462 that divides 42462 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 337, 674, 1011, 2022, 2359, 3033, 4718, 6066, 7077, 14154, 21231

Step-4: Factors of 42479

List of positive integer factors of 42479 that divides 42462 without a remainder.

1, 107, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42462 and 42479. The biggest common factor number is the GCF number.
So the greatest common factor 42462 and 42479 is 1.

Also check out the Least Common Multiple of 42462 and 42479