What is the Greatest Common Factor of 68748 and 68765?

Greatest common factor (GCF) of 68748 and 68765 is 17.

GCF(68748,68765) = 17

We will now calculate the prime factors of 68748 and 68765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68748 and 68765.

How to find the GCF of 68748 and 68765?

We will first find the prime factorization of 68748 and 68765. After we will calculate the factors of 68748 and 68765 and find the biggest common factor number .

Step-1: Prime Factorization of 68748

Prime factors of 68748 are 2, 3, 17, 337. Prime factorization of 68748 in exponential form is:

68748 = 2² × 3¹ × 17¹ × 337¹

Step-2: Prime Factorization of 68765

Prime factors of 68765 are 5, 17, 809. Prime factorization of 68765 in exponential form is:

68765 = 5¹ × 17¹ × 809¹

Step-3: Factors of 68748

List of positive integer factors of 68748 that divides 68748 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 337, 674, 1011, 1348, 2022, 4044, 5729, 11458, 17187, 22916, 34374

Step-4: Factors of 68765

List of positive integer factors of 68765 that divides 68748 without a remainder.

1, 5, 17, 85, 809, 4045, 13753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68748 and 68765. The biggest common factor number is the GCF number.
So the greatest common factor 68748 and 68765 is 17.

Also check out the Least Common Multiple of 68748 and 68765