What is the Greatest Common Factor of 68628 and 68642?

Greatest common factor (GCF) of 68628 and 68642 is 14.

GCF(68628,68642) = 14

We will now calculate the prime factors of 68628 and 68642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68628 and 68642.

How to find the GCF of 68628 and 68642?

We will first find the prime factorization of 68628 and 68642. After we will calculate the factors of 68628 and 68642 and find the biggest common factor number .

Step-1: Prime Factorization of 68628

Prime factors of 68628 are 2, 3, 7, 19, 43. Prime factorization of 68628 in exponential form is:

68628 = 2² × 3¹ × 7¹ × 19¹ × 43¹

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 68628

List of positive integer factors of 68628 that divides 68628 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 43, 57, 76, 84, 86, 114, 129, 133, 172, 228, 258, 266, 301, 399, 516, 532, 602, 798, 817, 903, 1204, 1596, 1634, 1806, 2451, 3268, 3612, 4902, 5719, 9804, 11438, 17157, 22876, 34314

Step-4: Factors of 68642

List of positive integer factors of 68642 that divides 68628 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68628 and 68642. The biggest common factor number is the GCF number.
So the greatest common factor 68628 and 68642 is 14.

Also check out the Least Common Multiple of 68628 and 68642