What is the Greatest Common Factor of 58625 and 58633?

Greatest common factor (GCF) of 58625 and 58633 is 1.

GCF(58625,58633) = 1

We will now calculate the prime factors of 58625 and 58633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58625 and 58633.

How to find the GCF of 58625 and 58633?

We will first find the prime factorization of 58625 and 58633. After we will calculate the factors of 58625 and 58633 and find the biggest common factor number .

Step-1: Prime Factorization of 58625

Prime factors of 58625 are 5, 7, 67. Prime factorization of 58625 in exponential form is:

58625 = 5³ × 7¹ × 67¹

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 58625

List of positive integer factors of 58625 that divides 58625 without a remainder.

1, 5, 7, 25, 35, 67, 125, 175, 335, 469, 875, 1675, 2345, 8375, 11725

Step-4: Factors of 58633

List of positive integer factors of 58633 that divides 58625 without a remainder.

1, 17, 3449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58625 and 58633. The biggest common factor number is the GCF number.
So the greatest common factor 58625 and 58633 is 1.

Also check out the Least Common Multiple of 58625 and 58633