What is the Greatest Common Factor of 68645 and 68652?

Greatest common factor (GCF) of 68645 and 68652 is 1.

GCF(68645,68652) = 1

We will now calculate the prime factors of 68645 and 68652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68645 and 68652.

How to find the GCF of 68645 and 68652?

We will first find the prime factorization of 68645 and 68652. After we will calculate the factors of 68645 and 68652 and find the biggest common factor number .

Step-1: Prime Factorization of 68645

Prime factors of 68645 are 5, 13729. Prime factorization of 68645 in exponential form is:

68645 = 5¹ × 13729¹

Step-2: Prime Factorization of 68652

Prime factors of 68652 are 2, 3, 1907. Prime factorization of 68652 in exponential form is:

68652 = 2² × 3² × 1907¹

Step-3: Factors of 68645

List of positive integer factors of 68645 that divides 68645 without a remainder.

1, 5, 13729

Step-4: Factors of 68652

List of positive integer factors of 68652 that divides 68645 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1907, 3814, 5721, 7628, 11442, 17163, 22884, 34326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68645 and 68652. The biggest common factor number is the GCF number.
So the greatest common factor 68645 and 68652 is 1.

Also check out the Least Common Multiple of 68645 and 68652