What is the Greatest Common Factor of 58631 and 58649?

Greatest common factor (GCF) of 58631 and 58649 is 1.

GCF(58631,58649) = 1

We will now calculate the prime factors of 58631 and 58649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58631 and 58649.

How to find the GCF of 58631 and 58649?

We will first find the prime factorization of 58631 and 58649. After we will calculate the factors of 58631 and 58649 and find the biggest common factor number .

Step-1: Prime Factorization of 58631

Prime factors of 58631 are 58631. Prime factorization of 58631 in exponential form is:

58631 = 58631¹

Step-2: Prime Factorization of 58649

Prime factors of 58649 are 223, 263. Prime factorization of 58649 in exponential form is:

58649 = 223¹ × 263¹

Step-3: Factors of 58631

List of positive integer factors of 58631 that divides 58631 without a remainder.

Step-4: Factors of 58649

List of positive integer factors of 58649 that divides 58631 without a remainder.

1, 223, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58631 and 58649. The biggest common factor number is the GCF number.
So the greatest common factor 58631 and 58649 is 1.

Also check out the Least Common Multiple of 58631 and 58649