What is the Greatest Common Factor of 68583 and 68601?

Greatest common factor (GCF) of 68583 and 68601 is 3.

GCF(68583,68601) = 3

We will now calculate the prime factors of 68583 and 68601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68583 and 68601.

How to find the GCF of 68583 and 68601?

We will first find the prime factorization of 68583 and 68601. After we will calculate the factors of 68583 and 68601 and find the biggest common factor number .

Step-1: Prime Factorization of 68583

Prime factors of 68583 are 3, 22861. Prime factorization of 68583 in exponential form is:

68583 = 3¹ × 22861¹

Step-2: Prime Factorization of 68601

Prime factors of 68601 are 3, 13, 1759. Prime factorization of 68601 in exponential form is:

68601 = 3¹ × 13¹ × 1759¹

Step-3: Factors of 68583

List of positive integer factors of 68583 that divides 68583 without a remainder.

1, 3, 22861

Step-4: Factors of 68601

List of positive integer factors of 68601 that divides 68583 without a remainder.

1, 3, 13, 39, 1759, 5277, 22867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68583 and 68601. The biggest common factor number is the GCF number.
So the greatest common factor 68583 and 68601 is 3.

Also check out the Least Common Multiple of 68583 and 68601