What is the Greatest Common Factor of 67410 and 67414?

Greatest common factor (GCF) of 67410 and 67414 is 2.

GCF(67410,67414) = 2

We will now calculate the prime factors of 67410 and 67414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67410 and 67414.

How to find the GCF of 67410 and 67414?

We will first find the prime factorization of 67410 and 67414. After we will calculate the factors of 67410 and 67414 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 67414

Prime factors of 67414 are 2, 37, 911. Prime factorization of 67414 in exponential form is:

67414 = 2¹ × 37¹ × 911¹

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 67414

List of positive integer factors of 67414 that divides 67410 without a remainder.

1, 2, 37, 74, 911, 1822, 33707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67410 and 67414. The biggest common factor number is the GCF number.
So the greatest common factor 67410 and 67414 is 2.

Also check out the Least Common Multiple of 67410 and 67414