What is the Greatest Common Factor of 42567 and 42574?

Greatest common factor (GCF) of 42567 and 42574 is 7.

GCF(42567,42574) = 7

We will now calculate the prime factors of 42567 and 42574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42567 and 42574.

How to find the GCF of 42567 and 42574?

We will first find the prime factorization of 42567 and 42574. After we will calculate the factors of 42567 and 42574 and find the biggest common factor number .

Step-1: Prime Factorization of 42567

Prime factors of 42567 are 3, 7, 2027. Prime factorization of 42567 in exponential form is:

42567 = 3¹ × 7¹ × 2027¹

Step-2: Prime Factorization of 42574

Prime factors of 42574 are 2, 7, 3041. Prime factorization of 42574 in exponential form is:

42574 = 2¹ × 7¹ × 3041¹

Step-3: Factors of 42567

List of positive integer factors of 42567 that divides 42567 without a remainder.

1, 3, 7, 21, 2027, 6081, 14189

Step-4: Factors of 42574

List of positive integer factors of 42574 that divides 42567 without a remainder.

1, 2, 7, 14, 3041, 6082, 21287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42567 and 42574. The biggest common factor number is the GCF number.
So the greatest common factor 42567 and 42574 is 7.

Also check out the Least Common Multiple of 42567 and 42574