What is the Greatest Common Factor of 68824 and 68832?

Greatest common factor (GCF) of 68824 and 68832 is 8.

GCF(68824,68832) = 8

We will now calculate the prime factors of 68824 and 68832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68824 and 68832.

How to find the GCF of 68824 and 68832?

We will first find the prime factorization of 68824 and 68832. After we will calculate the factors of 68824 and 68832 and find the biggest common factor number .

Step-1: Prime Factorization of 68824

Prime factors of 68824 are 2, 7, 1229. Prime factorization of 68824 in exponential form is:

68824 = 2³ × 7¹ × 1229¹

Step-2: 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-3: Factors of 68824

List of positive integer factors of 68824 that divides 68824 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1229, 2458, 4916, 8603, 9832, 17206, 34412

Step-4: Factors of 68832

List of positive integer factors of 68832 that divides 68824 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68824 and 68832. The biggest common factor number is the GCF number.
So the greatest common factor 68824 and 68832 is 8.

Also check out the Least Common Multiple of 68824 and 68832