What is the Greatest Common Factor of 68638 and 68642?

Greatest common factor (GCF) of 68638 and 68642 is 2.

GCF(68638,68642) = 2

We will now calculate the prime factors of 68638 and 68642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68638 and 68642.

How to find the GCF of 68638 and 68642?

We will first find the prime factorization of 68638 and 68642. After we will calculate the factors of 68638 and 68642 and find the biggest common factor number .

Step-1: Prime Factorization of 68638

Prime factors of 68638 are 2, 34319. Prime factorization of 68638 in exponential form is:

68638 = 2¹ × 34319¹

Step-2: Prime Factorization of 68642

Prime factors of 68642 are 2, 7, 4903. Prime factorization of 68642 in exponential form is:

68642 = 2¹ × 7¹ × 4903¹

Step-3: Factors of 68638

List of positive integer factors of 68638 that divides 68638 without a remainder.

1, 2, 34319

Step-4: Factors of 68642

List of positive integer factors of 68642 that divides 68638 without a remainder.

1, 2, 7, 14, 4903, 9806, 34321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68638 and 68642. The biggest common factor number is the GCF number.
So the greatest common factor 68638 and 68642 is 2.

Also check out the Least Common Multiple of 68638 and 68642