What is the Greatest Common Factor of 68075 and 68089?

Greatest common factor (GCF) of 68075 and 68089 is 7.

GCF(68075,68089) = 7

We will now calculate the prime factors of 68075 and 68089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68075 and 68089.

How to find the GCF of 68075 and 68089?

We will first find the prime factorization of 68075 and 68089. After we will calculate the factors of 68075 and 68089 and find the biggest common factor number .

Step-1: Prime Factorization of 68075

Prime factors of 68075 are 5, 7, 389. Prime factorization of 68075 in exponential form is:

68075 = 5² × 7¹ × 389¹

Step-2: Prime Factorization of 68089

Prime factors of 68089 are 7, 71, 137. Prime factorization of 68089 in exponential form is:

68089 = 7¹ × 71¹ × 137¹

Step-3: Factors of 68075

List of positive integer factors of 68075 that divides 68075 without a remainder.

1, 5, 7, 25, 35, 175, 389, 1945, 2723, 9725, 13615

Step-4: Factors of 68089

List of positive integer factors of 68089 that divides 68075 without a remainder.

1, 7, 71, 137, 497, 959, 9727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68075 and 68089. The biggest common factor number is the GCF number.
So the greatest common factor 68075 and 68089 is 7.

Also check out the Least Common Multiple of 68075 and 68089