What is the Greatest Common Factor of 67408 and 67419?

Greatest common factor (GCF) of 67408 and 67419 is 11.

GCF(67408,67419) = 11

We will now calculate the prime factors of 67408 and 67419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67408 and 67419.

How to find the GCF of 67408 and 67419?

We will first find the prime factorization of 67408 and 67419. After we will calculate the factors of 67408 and 67419 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 67419

Prime factors of 67419 are 3, 11, 227. Prime factorization of 67419 in exponential form is:

67419 = 3³ × 11¹ × 227¹

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 67419

List of positive integer factors of 67419 that divides 67408 without a remainder.

1, 3, 9, 11, 27, 33, 99, 227, 297, 681, 2043, 2497, 6129, 7491, 22473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67408 and 67419. The biggest common factor number is the GCF number.
So the greatest common factor 67408 and 67419 is 11.

Also check out the Least Common Multiple of 67408 and 67419