What is the Greatest Common Factor of 68628 and 68635?

Greatest common factor (GCF) of 68628 and 68635 is 7.

GCF(68628,68635) = 7

We will now calculate the prime factors of 68628 and 68635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68628 and 68635.

How to find the GCF of 68628 and 68635?

We will first find the prime factorization of 68628 and 68635. After we will calculate the factors of 68628 and 68635 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 68635

Prime factors of 68635 are 5, 7, 37, 53. Prime factorization of 68635 in exponential form is:

68635 = 5¹ × 7¹ × 37¹ × 53¹

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 68635

List of positive integer factors of 68635 that divides 68628 without a remainder.

1, 5, 7, 35, 37, 53, 185, 259, 265, 371, 1295, 1855, 1961, 9805, 13727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68628 and 68635. The biggest common factor number is the GCF number.
So the greatest common factor 68628 and 68635 is 7.

Also check out the Least Common Multiple of 68628 and 68635