What is the Greatest Common Factor of 58629 and 58637?

Greatest common factor (GCF) of 58629 and 58637 is 1.

GCF(58629,58637) = 1

We will now calculate the prime factors of 58629 and 58637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58629 and 58637.

How to find the GCF of 58629 and 58637?

We will first find the prime factorization of 58629 and 58637. After we will calculate the factors of 58629 and 58637 and find the biggest common factor number .

Step-1: Prime Factorization of 58629

Prime factors of 58629 are 3, 19543. Prime factorization of 58629 in exponential form is:

58629 = 3¹ × 19543¹

Step-2: Prime Factorization of 58637

Prime factors of 58637 are 191, 307. Prime factorization of 58637 in exponential form is:

58637 = 191¹ × 307¹

Step-3: Factors of 58629

List of positive integer factors of 58629 that divides 58629 without a remainder.

1, 3, 19543

Step-4: Factors of 58637

List of positive integer factors of 58637 that divides 58629 without a remainder.

1, 191, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58629 and 58637. The biggest common factor number is the GCF number.
So the greatest common factor 58629 and 58637 is 1.

Also check out the Least Common Multiple of 58629 and 58637