What is the Greatest Common Factor of 93085 and 93100?

Greatest common factor (GCF) of 93085 and 93100 is 5.

GCF(93085,93100) = 5

We will now calculate the prime factors of 93085 and 93100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93085 and 93100.

How to find the GCF of 93085 and 93100?

We will first find the prime factorization of 93085 and 93100. After we will calculate the factors of 93085 and 93100 and find the biggest common factor number .

Step-1: Prime Factorization of 93085

Prime factors of 93085 are 5, 18617. Prime factorization of 93085 in exponential form is:

93085 = 5¹ × 18617¹

Step-2: Prime Factorization of 93100

Prime factors of 93100 are 2, 5, 7, 19. Prime factorization of 93100 in exponential form is:

93100 = 2² × 5² × 7² × 19¹

Step-3: Factors of 93085

List of positive integer factors of 93085 that divides 93085 without a remainder.

1, 5, 18617

Step-4: Factors of 93100

List of positive integer factors of 93100 that divides 93085 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 25, 28, 35, 38, 49, 50, 70, 76, 95, 98, 100, 133, 140, 175, 190, 196, 245, 266, 350, 380, 475, 490, 532, 665, 700, 931, 950, 980, 1225, 1330, 1862, 1900, 2450, 2660, 3325, 3724, 4655, 4900, 6650, 9310, 13300, 18620, 23275, 46550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93085 and 93100. The biggest common factor number is the GCF number.
So the greatest common factor 93085 and 93100 is 5.

Also check out the Least Common Multiple of 93085 and 93100