What is the Greatest Common Factor of 58635 and 58649?

Greatest common factor (GCF) of 58635 and 58649 is 1.

GCF(58635,58649) = 1

We will now calculate the prime factors of 58635 and 58649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58635 and 58649.

How to find the GCF of 58635 and 58649?

We will first find the prime factorization of 58635 and 58649. After we will calculate the factors of 58635 and 58649 and find the biggest common factor number .

Step-1: Prime Factorization of 58635

Prime factors of 58635 are 3, 5, 1303. Prime factorization of 58635 in exponential form is:

58635 = 3² × 5¹ × 1303¹

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 58635

List of positive integer factors of 58635 that divides 58635 without a remainder.

1, 3, 5, 9, 15, 45, 1303, 3909, 6515, 11727, 19545

Step-4: Factors of 58649

List of positive integer factors of 58649 that divides 58635 without a remainder.

1, 223, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58635 and 58649. The biggest common factor number is the GCF number.
So the greatest common factor 58635 and 58649 is 1.

Also check out the Least Common Multiple of 58635 and 58649