What is the Greatest Common Factor of 68608 and 68628?

Greatest common factor (GCF) of 68608 and 68628 is 4.

GCF(68608,68628) = 4

We will now calculate the prime factors of 68608 and 68628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68608 and 68628.

How to find the GCF of 68608 and 68628?

We will first find the prime factorization of 68608 and 68628. After we will calculate the factors of 68608 and 68628 and find the biggest common factor number .

Step-1: Prime Factorization of 68608

Prime factors of 68608 are 2, 67. Prime factorization of 68608 in exponential form is:

68608 = 2¹⁰ × 67¹

Step-2: 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-3: Factors of 68608

List of positive integer factors of 68608 that divides 68608 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 256, 268, 512, 536, 1024, 1072, 2144, 4288, 8576, 17152, 34304

Step-4: Factors of 68628

List of positive integer factors of 68628 that divides 68608 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68608 and 68628. The biggest common factor number is the GCF number.
So the greatest common factor 68608 and 68628 is 4.

Also check out the Least Common Multiple of 68608 and 68628