What is the Greatest Common Factor of 59164 and 59178?

Greatest common factor (GCF) of 59164 and 59178 is 14.

GCF(59164,59178) = 14

We will now calculate the prime factors of 59164 and 59178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59164 and 59178.

How to find the GCF of 59164 and 59178?

We will first find the prime factorization of 59164 and 59178. After we will calculate the factors of 59164 and 59178 and find the biggest common factor number .

Step-1: Prime Factorization of 59164

Prime factors of 59164 are 2, 7, 2113. Prime factorization of 59164 in exponential form is:

59164 = 2² × 7¹ × 2113¹

Step-2: Prime Factorization of 59178

Prime factors of 59178 are 2, 3, 7, 1409. Prime factorization of 59178 in exponential form is:

59178 = 2¹ × 3¹ × 7¹ × 1409¹

Step-3: Factors of 59164

List of positive integer factors of 59164 that divides 59164 without a remainder.

1, 2, 4, 7, 14, 28, 2113, 4226, 8452, 14791, 29582

Step-4: Factors of 59178

List of positive integer factors of 59178 that divides 59164 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1409, 2818, 4227, 8454, 9863, 19726, 29589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59164 and 59178. The biggest common factor number is the GCF number.
So the greatest common factor 59164 and 59178 is 14.

Also check out the Least Common Multiple of 59164 and 59178