What is the Greatest Common Factor of 93605 and 93620?

Greatest common factor (GCF) of 93605 and 93620 is 5.

GCF(93605,93620) = 5

We will now calculate the prime factors of 93605 and 93620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93605 and 93620.

How to find the GCF of 93605 and 93620?

We will first find the prime factorization of 93605 and 93620. After we will calculate the factors of 93605 and 93620 and find the biggest common factor number .

Step-1: Prime Factorization of 93605

Prime factors of 93605 are 5, 97, 193. Prime factorization of 93605 in exponential form is:

93605 = 5¹ × 97¹ × 193¹

Step-2: Prime Factorization of 93620

Prime factors of 93620 are 2, 5, 31, 151. Prime factorization of 93620 in exponential form is:

93620 = 2² × 5¹ × 31¹ × 151¹

Step-3: Factors of 93605

List of positive integer factors of 93605 that divides 93605 without a remainder.

1, 5, 97, 193, 485, 965, 18721

Step-4: Factors of 93620

List of positive integer factors of 93620 that divides 93605 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 151, 155, 302, 310, 604, 620, 755, 1510, 3020, 4681, 9362, 18724, 23405, 46810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93605 and 93620. The biggest common factor number is the GCF number.
So the greatest common factor 93605 and 93620 is 5.

Also check out the Least Common Multiple of 93605 and 93620