What is the Greatest Common Factor of 68052 and 68065?

Greatest common factor (GCF) of 68052 and 68065 is 1.

GCF(68052,68065) = 1

We will now calculate the prime factors of 68052 and 68065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68052 and 68065.

How to find the GCF of 68052 and 68065?

We will first find the prime factorization of 68052 and 68065. After we will calculate the factors of 68052 and 68065 and find the biggest common factor number .

Step-1: Prime Factorization of 68052

Prime factors of 68052 are 2, 3, 53, 107. Prime factorization of 68052 in exponential form is:

68052 = 2² × 3¹ × 53¹ × 107¹

Step-2: Prime Factorization of 68065

Prime factors of 68065 are 5, 13613. Prime factorization of 68065 in exponential form is:

68065 = 5¹ × 13613¹

Step-3: Factors of 68052

List of positive integer factors of 68052 that divides 68052 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 107, 159, 212, 214, 318, 321, 428, 636, 642, 1284, 5671, 11342, 17013, 22684, 34026

Step-4: Factors of 68065

List of positive integer factors of 68065 that divides 68052 without a remainder.

1, 5, 13613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68052 and 68065. The biggest common factor number is the GCF number.
So the greatest common factor 68052 and 68065 is 1.

Also check out the Least Common Multiple of 68052 and 68065