What is the Greatest Common Factor of 93457 and 93470?

Greatest common factor (GCF) of 93457 and 93470 is 13.

GCF(93457,93470) = 13

We will now calculate the prime factors of 93457 and 93470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93457 and 93470.

How to find the GCF of 93457 and 93470?

We will first find the prime factorization of 93457 and 93470. After we will calculate the factors of 93457 and 93470 and find the biggest common factor number .

Step-1: Prime Factorization of 93457

Prime factors of 93457 are 7, 13, 79. Prime factorization of 93457 in exponential form is:

93457 = 7¹ × 13² × 79¹

Step-2: 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-3: Factors of 93457

List of positive integer factors of 93457 that divides 93457 without a remainder.

1, 7, 13, 79, 91, 169, 553, 1027, 1183, 7189, 13351

Step-4: Factors of 93470

List of positive integer factors of 93470 that divides 93457 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93457 and 93470. The biggest common factor number is the GCF number.
So the greatest common factor 93457 and 93470 is 13.

Also check out the Least Common Multiple of 93457 and 93470