What is the Greatest Common Factor of 67408 and 67416?

Greatest common factor (GCF) of 67408 and 67416 is 8.

GCF(67408,67416) = 8

We will now calculate the prime factors of 67408 and 67416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67408 and 67416.

How to find the GCF of 67408 and 67416?

We will first find the prime factorization of 67408 and 67416. After we will calculate the factors of 67408 and 67416 and find the biggest common factor number .

Step-1: Prime Factorization of 67408

Prime factors of 67408 are 2, 11, 383. Prime factorization of 67408 in exponential form is:

67408 = 2⁴ × 11¹ × 383¹

Step-2: 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-3: Factors of 67408

List of positive integer factors of 67408 that divides 67408 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 383, 766, 1532, 3064, 4213, 6128, 8426, 16852, 33704

Step-4: Factors of 67416

List of positive integer factors of 67416 that divides 67408 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67408 and 67416. The biggest common factor number is the GCF number.
So the greatest common factor 67408 and 67416 is 8.

Also check out the Least Common Multiple of 67408 and 67416