What is the Greatest Common Factor of 67104 and 67120?

Greatest common factor (GCF) of 67104 and 67120 is 16.

GCF(67104,67120) = 16

We will now calculate the prime factors of 67104 and 67120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67104 and 67120.

How to find the GCF of 67104 and 67120?

We will first find the prime factorization of 67104 and 67120. After we will calculate the factors of 67104 and 67120 and find the biggest common factor number .

Step-1: Prime Factorization of 67104

Prime factors of 67104 are 2, 3, 233. Prime factorization of 67104 in exponential form is:

67104 = 2⁵ × 3² × 233¹

Step-2: Prime Factorization of 67120

Prime factors of 67120 are 2, 5, 839. Prime factorization of 67120 in exponential form is:

67120 = 2⁴ × 5¹ × 839¹

Step-3: Factors of 67104

List of positive integer factors of 67104 that divides 67104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 233, 288, 466, 699, 932, 1398, 1864, 2097, 2796, 3728, 4194, 5592, 7456, 8388, 11184, 16776, 22368, 33552

Step-4: Factors of 67120

List of positive integer factors of 67120 that divides 67104 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 839, 1678, 3356, 4195, 6712, 8390, 13424, 16780, 33560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67104 and 67120. The biggest common factor number is the GCF number.
So the greatest common factor 67104 and 67120 is 16.

Also check out the Least Common Multiple of 67104 and 67120