What is the Greatest Common Factor of 93464 and 93478?

Greatest common factor (GCF) of 93464 and 93478 is 14.

GCF(93464,93478) = 14

We will now calculate the prime factors of 93464 and 93478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93464 and 93478.

How to find the GCF of 93464 and 93478?

We will first find the prime factorization of 93464 and 93478. After we will calculate the factors of 93464 and 93478 and find the biggest common factor number .

Step-1: Prime Factorization of 93464

Prime factors of 93464 are 2, 7, 1669. Prime factorization of 93464 in exponential form is:

93464 = 2³ × 7¹ × 1669¹

Step-2: Prime Factorization of 93478

Prime factors of 93478 are 2, 7, 11, 607. Prime factorization of 93478 in exponential form is:

93478 = 2¹ × 7¹ × 11¹ × 607¹

Step-3: Factors of 93464

List of positive integer factors of 93464 that divides 93464 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1669, 3338, 6676, 11683, 13352, 23366, 46732

Step-4: Factors of 93478

List of positive integer factors of 93478 that divides 93464 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 607, 1214, 4249, 6677, 8498, 13354, 46739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93464 and 93478. The biggest common factor number is the GCF number.
So the greatest common factor 93464 and 93478 is 14.

Also check out the Least Common Multiple of 93464 and 93478