What is the Greatest Common Factor of 42675 and 42683?

Greatest common factor (GCF) of 42675 and 42683 is 1.

GCF(42675,42683) = 1

We will now calculate the prime factors of 42675 and 42683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42675 and 42683.

How to find the GCF of 42675 and 42683?

We will first find the prime factorization of 42675 and 42683. After we will calculate the factors of 42675 and 42683 and find the biggest common factor number .

Step-1: Prime Factorization of 42675

Prime factors of 42675 are 3, 5, 569. Prime factorization of 42675 in exponential form is:

42675 = 3¹ × 5² × 569¹

Step-2: Prime Factorization of 42683

Prime factors of 42683 are 42683. Prime factorization of 42683 in exponential form is:

42683 = 42683¹

Step-3: Factors of 42675

List of positive integer factors of 42675 that divides 42675 without a remainder.

1, 3, 5, 15, 25, 75, 569, 1707, 2845, 8535, 14225

Step-4: Factors of 42683

List of positive integer factors of 42683 that divides 42675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42675 and 42683. The biggest common factor number is the GCF number.
So the greatest common factor 42675 and 42683 is 1.

Also check out the Least Common Multiple of 42675 and 42683