What is the Greatest Common Factor of 67416 and 67434?

Greatest common factor (GCF) of 67416 and 67434 is 6.

GCF(67416,67434) = 6

We will now calculate the prime factors of 67416 and 67434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67416 and 67434.

How to find the GCF of 67416 and 67434?

We will first find the prime factorization of 67416 and 67434. After we will calculate the factors of 67416 and 67434 and find the biggest common factor number .

Step-1: Prime Factorization of 67416

Prime factors of 67416 are 2, 3, 53. Prime factorization of 67416 in exponential form is:

67416 = 2³ × 3¹ × 53²

Step-2: Prime Factorization of 67434

Prime factors of 67434 are 2, 3, 11239. Prime factorization of 67434 in exponential form is:

67434 = 2¹ × 3¹ × 11239¹

Step-3: Factors of 67416

List of positive integer factors of 67416 that divides 67416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272, 2809, 5618, 8427, 11236, 16854, 22472, 33708

Step-4: Factors of 67434

List of positive integer factors of 67434 that divides 67416 without a remainder.

1, 2, 3, 6, 11239, 22478, 33717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67416 and 67434. The biggest common factor number is the GCF number.
So the greatest common factor 67416 and 67434 is 6.

Also check out the Least Common Multiple of 67416 and 67434