What is the Greatest Common Factor of 35623 and 35631?

Greatest common factor (GCF) of 35623 and 35631 is 1.

GCF(35623,35631) = 1

We will now calculate the prime factors of 35623 and 35631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35623 and 35631.

How to find the GCF of 35623 and 35631?

We will first find the prime factorization of 35623 and 35631. After we will calculate the factors of 35623 and 35631 and find the biggest common factor number .

Step-1: Prime Factorization of 35623

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

35623 = 7² × 727¹

Step-2: Prime Factorization of 35631

Prime factors of 35631 are 3, 37, 107. Prime factorization of 35631 in exponential form is:

35631 = 3² × 37¹ × 107¹

Step-3: Factors of 35623

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

1, 7, 49, 727, 5089

Step-4: Factors of 35631

List of positive integer factors of 35631 that divides 35623 without a remainder.

1, 3, 9, 37, 107, 111, 321, 333, 963, 3959, 11877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35623 and 35631. The biggest common factor number is the GCF number.
So the greatest common factor 35623 and 35631 is 1.

Also check out the Least Common Multiple of 35623 and 35631