What is the Greatest Common Factor of 68602 and 68616?

Greatest common factor (GCF) of 68602 and 68616 is 2.

GCF(68602,68616) = 2

We will now calculate the prime factors of 68602 and 68616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68602 and 68616.

How to find the GCF of 68602 and 68616?

We will first find the prime factorization of 68602 and 68616. After we will calculate the factors of 68602 and 68616 and find the biggest common factor number .

Step-1: Prime Factorization of 68602

Prime factors of 68602 are 2, 34301. Prime factorization of 68602 in exponential form is:

68602 = 2¹ × 34301¹

Step-2: Prime Factorization of 68616

Prime factors of 68616 are 2, 3, 953. Prime factorization of 68616 in exponential form is:

68616 = 2³ × 3² × 953¹

Step-3: Factors of 68602

List of positive integer factors of 68602 that divides 68602 without a remainder.

1, 2, 34301

Step-4: Factors of 68616

List of positive integer factors of 68616 that divides 68602 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 953, 1906, 2859, 3812, 5718, 7624, 8577, 11436, 17154, 22872, 34308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68602 and 68616. The biggest common factor number is the GCF number.
So the greatest common factor 68602 and 68616 is 2.

Also check out the Least Common Multiple of 68602 and 68616