What is the Greatest Common Factor of 68875 and 68894?

Greatest common factor (GCF) of 68875 and 68894 is 19.

GCF(68875,68894) = 19

We will now calculate the prime factors of 68875 and 68894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68875 and 68894.

How to find the GCF of 68875 and 68894?

We will first find the prime factorization of 68875 and 68894. After we will calculate the factors of 68875 and 68894 and find the biggest common factor number .

Step-1: Prime Factorization of 68875

Prime factors of 68875 are 5, 19, 29. Prime factorization of 68875 in exponential form is:

68875 = 5³ × 19¹ × 29¹

Step-2: Prime Factorization of 68894

Prime factors of 68894 are 2, 7, 19, 37. Prime factorization of 68894 in exponential form is:

68894 = 2¹ × 7² × 19¹ × 37¹

Step-3: Factors of 68875

List of positive integer factors of 68875 that divides 68875 without a remainder.

1, 5, 19, 25, 29, 95, 125, 145, 475, 551, 725, 2375, 2755, 3625, 13775

Step-4: Factors of 68894

List of positive integer factors of 68894 that divides 68875 without a remainder.

1, 2, 7, 14, 19, 37, 38, 49, 74, 98, 133, 259, 266, 518, 703, 931, 1406, 1813, 1862, 3626, 4921, 9842, 34447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68875 and 68894. The biggest common factor number is the GCF number.
So the greatest common factor 68875 and 68894 is 19.

Also check out the Least Common Multiple of 68875 and 68894