What is the Greatest Common Factor of 59859 and 59878?

Greatest common factor (GCF) of 59859 and 59878 is 1.

GCF(59859,59878) = 1

We will now calculate the prime factors of 59859 and 59878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59859 and 59878.

How to find the GCF of 59859 and 59878?

We will first find the prime factorization of 59859 and 59878. After we will calculate the factors of 59859 and 59878 and find the biggest common factor number .

Step-1: Prime Factorization of 59859

Prime factors of 59859 are 3, 739. Prime factorization of 59859 in exponential form is:

59859 = 3⁴ × 739¹

Step-2: Prime Factorization of 59878

Prime factors of 59878 are 2, 7, 13, 47. Prime factorization of 59878 in exponential form is:

59878 = 2¹ × 7² × 13¹ × 47¹

Step-3: Factors of 59859

List of positive integer factors of 59859 that divides 59859 without a remainder.

1, 3, 9, 27, 81, 739, 2217, 6651, 19953

Step-4: Factors of 59878

List of positive integer factors of 59878 that divides 59859 without a remainder.

1, 2, 7, 13, 14, 26, 47, 49, 91, 94, 98, 182, 329, 611, 637, 658, 1222, 1274, 2303, 4277, 4606, 8554, 29939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59859 and 59878. The biggest common factor number is the GCF number.
So the greatest common factor 59859 and 59878 is 1.

Also check out the Least Common Multiple of 59859 and 59878