What is the Greatest Common Factor of 67458 and 67467?

Greatest common factor (GCF) of 67458 and 67467 is 3.

GCF(67458,67467) = 3

We will now calculate the prime factors of 67458 and 67467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67458 and 67467.

How to find the GCF of 67458 and 67467?

We will first find the prime factorization of 67458 and 67467. After we will calculate the factors of 67458 and 67467 and find the biggest common factor number .

Step-1: Prime Factorization of 67458

Prime factors of 67458 are 2, 3, 11243. Prime factorization of 67458 in exponential form is:

67458 = 2¹ × 3¹ × 11243¹

Step-2: Prime Factorization of 67467

Prime factors of 67467 are 3, 43, 523. Prime factorization of 67467 in exponential form is:

67467 = 3¹ × 43¹ × 523¹

Step-3: Factors of 67458

List of positive integer factors of 67458 that divides 67458 without a remainder.

1, 2, 3, 6, 11243, 22486, 33729

Step-4: Factors of 67467

List of positive integer factors of 67467 that divides 67458 without a remainder.

1, 3, 43, 129, 523, 1569, 22489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67458 and 67467. The biggest common factor number is the GCF number.
So the greatest common factor 67458 and 67467 is 3.

Also check out the Least Common Multiple of 67458 and 67467