What is the Greatest Common Factor of 93470 and 93475?

Greatest common factor (GCF) of 93470 and 93475 is 5.

GCF(93470,93475) = 5

We will now calculate the prime factors of 93470 and 93475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93470 and 93475.

How to find the GCF of 93470 and 93475?

We will first find the prime factorization of 93470 and 93475. After we will calculate the factors of 93470 and 93475 and find the biggest common factor number .

Step-1: Prime Factorization of 93470

Prime factors of 93470 are 2, 5, 13, 719. Prime factorization of 93470 in exponential form is:

93470 = 2¹ × 5¹ × 13¹ × 719¹

Step-2: Prime Factorization of 93475

Prime factors of 93475 are 5, 3739. Prime factorization of 93475 in exponential form is:

93475 = 5² × 3739¹

Step-3: Factors of 93470

List of positive integer factors of 93470 that divides 93470 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 719, 1438, 3595, 7190, 9347, 18694, 46735

Step-4: Factors of 93475

List of positive integer factors of 93475 that divides 93470 without a remainder.

1, 5, 25, 3739, 18695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93470 and 93475. The biggest common factor number is the GCF number.
So the greatest common factor 93470 and 93475 is 5.

Also check out the Least Common Multiple of 93470 and 93475