What is the Greatest Common Factor of 68875 and 68890?

Greatest common factor (GCF) of 68875 and 68890 is 5.

GCF(68875,68890) = 5

We will now calculate the prime factors of 68875 and 68890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68875 and 68890.

How to find the GCF of 68875 and 68890?

We will first find the prime factorization of 68875 and 68890. After we will calculate the factors of 68875 and 68890 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 68890

Prime factors of 68890 are 2, 5, 83. Prime factorization of 68890 in exponential form is:

68890 = 2¹ × 5¹ × 83²

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 68890

List of positive integer factors of 68890 that divides 68875 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830, 6889, 13778, 34445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68875 and 68890. The biggest common factor number is the GCF number.
So the greatest common factor 68875 and 68890 is 5.

Also check out the Least Common Multiple of 68875 and 68890