What is the Greatest Common Factor of 68061 and 68075?

Greatest common factor (GCF) of 68061 and 68075 is 7.

GCF(68061,68075) = 7

We will now calculate the prime factors of 68061 and 68075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68061 and 68075.

How to find the GCF of 68061 and 68075?

We will first find the prime factorization of 68061 and 68075. After we will calculate the factors of 68061 and 68075 and find the biggest common factor number .

Step-1: Prime Factorization of 68061

Prime factors of 68061 are 3, 7, 463. Prime factorization of 68061 in exponential form is:

68061 = 3¹ × 7² × 463¹

Step-2: 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-3: Factors of 68061

List of positive integer factors of 68061 that divides 68061 without a remainder.

1, 3, 7, 21, 49, 147, 463, 1389, 3241, 9723, 22687

Step-4: Factors of 68075

List of positive integer factors of 68075 that divides 68061 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68061 and 68075. The biggest common factor number is the GCF number.
So the greatest common factor 68061 and 68075 is 7.

Also check out the Least Common Multiple of 68061 and 68075