What is the Greatest Common Factor of 68832 and 68838?

Greatest common factor (GCF) of 68832 and 68838 is 6.

GCF(68832,68838) = 6

We will now calculate the prime factors of 68832 and 68838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68832 and 68838.

How to find the GCF of 68832 and 68838?

We will first find the prime factorization of 68832 and 68838. After we will calculate the factors of 68832 and 68838 and find the biggest common factor number .

Step-1: Prime Factorization of 68832

Prime factors of 68832 are 2, 3, 239. Prime factorization of 68832 in exponential form is:

68832 = 2⁵ × 3² × 239¹

Step-2: Prime Factorization of 68838

Prime factors of 68838 are 2, 3, 7, 11, 149. Prime factorization of 68838 in exponential form is:

68838 = 2¹ × 3¹ × 7¹ × 11¹ × 149¹

Step-3: Factors of 68832

List of positive integer factors of 68832 that divides 68832 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 239, 288, 478, 717, 956, 1434, 1912, 2151, 2868, 3824, 4302, 5736, 7648, 8604, 11472, 17208, 22944, 34416

Step-4: Factors of 68838

List of positive integer factors of 68838 that divides 68832 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 149, 154, 231, 298, 447, 462, 894, 1043, 1639, 2086, 3129, 3278, 4917, 6258, 9834, 11473, 22946, 34419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68832 and 68838. The biggest common factor number is the GCF number.
So the greatest common factor 68832 and 68838 is 6.

Also check out the Least Common Multiple of 68832 and 68838