What is the Greatest Common Factor of 67410 and 67428?

Greatest common factor (GCF) of 67410 and 67428 is 18.

GCF(67410,67428) = 18

We will now calculate the prime factors of 67410 and 67428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67410 and 67428.

How to find the GCF of 67410 and 67428?

We will first find the prime factorization of 67410 and 67428. After we will calculate the factors of 67410 and 67428 and find the biggest common factor number .

Step-1: Prime Factorization of 67410

Prime factors of 67410 are 2, 3, 5, 7, 107. Prime factorization of 67410 in exponential form is:

67410 = 2¹ × 3² × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 67428

Prime factors of 67428 are 2, 3, 1873. Prime factorization of 67428 in exponential form is:

67428 = 2² × 3² × 1873¹

Step-3: Factors of 67410

List of positive integer factors of 67410 that divides 67410 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 107, 126, 210, 214, 315, 321, 535, 630, 642, 749, 963, 1070, 1498, 1605, 1926, 2247, 3210, 3745, 4494, 4815, 6741, 7490, 9630, 11235, 13482, 22470, 33705

Step-4: Factors of 67428

List of positive integer factors of 67428 that divides 67410 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1873, 3746, 5619, 7492, 11238, 16857, 22476, 33714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67410 and 67428. The biggest common factor number is the GCF number.
So the greatest common factor 67410 and 67428 is 18.

Also check out the Least Common Multiple of 67410 and 67428