What is the Greatest Common Factor of 67104 and 67119?

Greatest common factor (GCF) of 67104 and 67119 is 3.

GCF(67104,67119) = 3

We will now calculate the prime factors of 67104 and 67119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67104 and 67119.

How to find the GCF of 67104 and 67119?

We will first find the prime factorization of 67104 and 67119. After we will calculate the factors of 67104 and 67119 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 67119

Prime factors of 67119 are 3, 13, 1721. Prime factorization of 67119 in exponential form is:

67119 = 3¹ × 13¹ × 1721¹

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 67119

List of positive integer factors of 67119 that divides 67104 without a remainder.

1, 3, 13, 39, 1721, 5163, 22373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67104 and 67119. The biggest common factor number is the GCF number.
So the greatest common factor 67104 and 67119 is 3.

Also check out the Least Common Multiple of 67104 and 67119