What is the Greatest Common Factor of 35609 and 35623?

Greatest common factor (GCF) of 35609 and 35623 is 7.

GCF(35609,35623) = 7

We will now calculate the prime factors of 35609 and 35623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35609 and 35623.

How to find the GCF of 35609 and 35623?

We will first find the prime factorization of 35609 and 35623. After we will calculate the factors of 35609 and 35623 and find the biggest common factor number .

Step-1: Prime Factorization of 35609

Prime factors of 35609 are 7, 5087. Prime factorization of 35609 in exponential form is:

35609 = 7¹ × 5087¹

Step-2: Prime Factorization of 35623

Prime factors of 35623 are 7, 727. Prime factorization of 35623 in exponential form is:

35623 = 7² × 727¹

Step-3: Factors of 35609

List of positive integer factors of 35609 that divides 35609 without a remainder.

1, 7, 5087

Step-4: Factors of 35623

List of positive integer factors of 35623 that divides 35609 without a remainder.

1, 7, 49, 727, 5089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35609 and 35623. The biggest common factor number is the GCF number.
So the greatest common factor 35609 and 35623 is 7.

Also check out the Least Common Multiple of 35609 and 35623