What is the Greatest Common Factor of 37603 and 37623?

Greatest common factor (GCF) of 37603 and 37623 is 1.

GCF(37603,37623) = 1

We will now calculate the prime factors of 37603 and 37623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37603 and 37623.

How to find the GCF of 37603 and 37623?

We will first find the prime factorization of 37603 and 37623. After we will calculate the factors of 37603 and 37623 and find the biggest common factor number .

Step-1: Prime Factorization of 37603

Prime factors of 37603 are 31, 1213. Prime factorization of 37603 in exponential form is:

37603 = 31¹ × 1213¹

Step-2: Prime Factorization of 37623

Prime factors of 37623 are 3, 12541. Prime factorization of 37623 in exponential form is:

37623 = 3¹ × 12541¹

Step-3: Factors of 37603

List of positive integer factors of 37603 that divides 37603 without a remainder.

1, 31, 1213

Step-4: Factors of 37623

List of positive integer factors of 37623 that divides 37603 without a remainder.

1, 3, 12541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37603 and 37623. The biggest common factor number is the GCF number.
So the greatest common factor 37603 and 37623 is 1.

Also check out the Least Common Multiple of 37603 and 37623