What is the Greatest Common Factor of 42675 and 42691?

Greatest common factor (GCF) of 42675 and 42691 is 1.

GCF(42675,42691) = 1

We will now calculate the prime factors of 42675 and 42691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42675 and 42691.

How to find the GCF of 42675 and 42691?

We will first find the prime factorization of 42675 and 42691. After we will calculate the factors of 42675 and 42691 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 42691

Prime factors of 42691 are 11, 3881. Prime factorization of 42691 in exponential form is:

42691 = 11¹ × 3881¹

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 42691

List of positive integer factors of 42691 that divides 42675 without a remainder.

1, 11, 3881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42675 and 42691. The biggest common factor number is the GCF number.
So the greatest common factor 42675 and 42691 is 1.

Also check out the Least Common Multiple of 42675 and 42691