What is the Greatest Common Factor of 58629 and 58633?

Greatest common factor (GCF) of 58629 and 58633 is 1.

GCF(58629,58633) = 1

We will now calculate the prime factors of 58629 and 58633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58629 and 58633.

How to find the GCF of 58629 and 58633?

We will first find the prime factorization of 58629 and 58633. After we will calculate the factors of 58629 and 58633 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 58633

Prime factors of 58633 are 17, 3449. Prime factorization of 58633 in exponential form is:

58633 = 17¹ × 3449¹

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 58633

List of positive integer factors of 58633 that divides 58629 without a remainder.

1, 17, 3449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58629 and 58633. The biggest common factor number is the GCF number.
So the greatest common factor 58629 and 58633 is 1.

Also check out the Least Common Multiple of 58629 and 58633