What is the Greatest Common Factor of 42476 and 42493?

Greatest common factor (GCF) of 42476 and 42493 is 1.

GCF(42476,42493) = 1

We will now calculate the prime factors of 42476 and 42493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42476 and 42493.

How to find the GCF of 42476 and 42493?

We will first find the prime factorization of 42476 and 42493. After we will calculate the factors of 42476 and 42493 and find the biggest common factor number .

Step-1: Prime Factorization of 42476

Prime factors of 42476 are 2, 7, 37, 41. Prime factorization of 42476 in exponential form is:

42476 = 2² × 7¹ × 37¹ × 41¹

Step-2: Prime Factorization of 42493

Prime factors of 42493 are 11, 3863. Prime factorization of 42493 in exponential form is:

42493 = 11¹ × 3863¹

Step-3: Factors of 42476

List of positive integer factors of 42476 that divides 42476 without a remainder.

1, 2, 4, 7, 14, 28, 37, 41, 74, 82, 148, 164, 259, 287, 518, 574, 1036, 1148, 1517, 3034, 6068, 10619, 21238

Step-4: Factors of 42493

List of positive integer factors of 42493 that divides 42476 without a remainder.

1, 11, 3863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42476 and 42493. The biggest common factor number is the GCF number.
So the greatest common factor 42476 and 42493 is 1.

Also check out the Least Common Multiple of 42476 and 42493