What is the Greatest Common Factor of 67098 and 67104?

Greatest common factor (GCF) of 67098 and 67104 is 6.

GCF(67098,67104) = 6

We will now calculate the prime factors of 67098 and 67104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67098 and 67104.

How to find the GCF of 67098 and 67104?

We will first find the prime factorization of 67098 and 67104. After we will calculate the factors of 67098 and 67104 and find the biggest common factor number .

Step-1: Prime Factorization of 67098

Prime factors of 67098 are 2, 3, 53, 211. Prime factorization of 67098 in exponential form is:

67098 = 2¹ × 3¹ × 53¹ × 211¹

Step-2: 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-3: Factors of 67098

List of positive integer factors of 67098 that divides 67098 without a remainder.

1, 2, 3, 6, 53, 106, 159, 211, 318, 422, 633, 1266, 11183, 22366, 33549

Step-4: Factors of 67104

List of positive integer factors of 67104 that divides 67098 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67098 and 67104. The biggest common factor number is the GCF number.
So the greatest common factor 67098 and 67104 is 6.

Also check out the Least Common Multiple of 67098 and 67104