What is the Greatest Common Factor of 42609 and 42623?

Greatest common factor (GCF) of 42609 and 42623 is 7.

GCF(42609,42623) = 7

We will now calculate the prime factors of 42609 and 42623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42609 and 42623.

How to find the GCF of 42609 and 42623?

We will first find the prime factorization of 42609 and 42623. After we will calculate the factors of 42609 and 42623 and find the biggest common factor number .

Step-1: Prime Factorization of 42609

Prime factors of 42609 are 3, 7, 2029. Prime factorization of 42609 in exponential form is:

42609 = 3¹ × 7¹ × 2029¹

Step-2: Prime Factorization of 42623

Prime factors of 42623 are 7, 6089. Prime factorization of 42623 in exponential form is:

42623 = 7¹ × 6089¹

Step-3: Factors of 42609

List of positive integer factors of 42609 that divides 42609 without a remainder.

1, 3, 7, 21, 2029, 6087, 14203

Step-4: Factors of 42623

List of positive integer factors of 42623 that divides 42609 without a remainder.

1, 7, 6089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42609 and 42623. The biggest common factor number is the GCF number.
So the greatest common factor 42609 and 42623 is 7.

Also check out the Least Common Multiple of 42609 and 42623