What is the Greatest Common Factor of 35623 and 35627?

Greatest common factor (GCF) of 35623 and 35627 is 1.

GCF(35623,35627) = 1

We will now calculate the prime factors of 35623 and 35627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35623 and 35627.

How to find the GCF of 35623 and 35627?

We will first find the prime factorization of 35623 and 35627. After we will calculate the factors of 35623 and 35627 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 35627

Prime factors of 35627 are 23, 1549. Prime factorization of 35627 in exponential form is:

35627 = 23¹ × 1549¹

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 35627

List of positive integer factors of 35627 that divides 35623 without a remainder.

1, 23, 1549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35623 and 35627. The biggest common factor number is the GCF number.
So the greatest common factor 35623 and 35627 is 1.

Also check out the Least Common Multiple of 35623 and 35627