What is the Greatest Common Factor of 68832 and 68840?

Greatest common factor (GCF) of 68832 and 68840 is 8.

GCF(68832,68840) = 8

We will now calculate the prime factors of 68832 and 68840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68832 and 68840.

How to find the GCF of 68832 and 68840?

We will first find the prime factorization of 68832 and 68840. After we will calculate the factors of 68832 and 68840 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 68840

Prime factors of 68840 are 2, 5, 1721. Prime factorization of 68840 in exponential form is:

68840 = 2³ × 5¹ × 1721¹

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 68840

List of positive integer factors of 68840 that divides 68832 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1721, 3442, 6884, 8605, 13768, 17210, 34420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68832 and 68840. The biggest common factor number is the GCF number.
So the greatest common factor 68832 and 68840 is 8.

Also check out the Least Common Multiple of 68832 and 68840