What is the Greatest Common Factor of 67458 and 67465?

Greatest common factor (GCF) of 67458 and 67465 is 1.

GCF(67458,67465) = 1

We will now calculate the prime factors of 67458 and 67465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67458 and 67465.

How to find the GCF of 67458 and 67465?

We will first find the prime factorization of 67458 and 67465. After we will calculate the factors of 67458 and 67465 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 67465

Prime factors of 67465 are 5, 103, 131. Prime factorization of 67465 in exponential form is:

67465 = 5¹ × 103¹ × 131¹

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 67465

List of positive integer factors of 67465 that divides 67458 without a remainder.

1, 5, 103, 131, 515, 655, 13493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67458 and 67465. The biggest common factor number is the GCF number.
So the greatest common factor 67458 and 67465 is 1.

Also check out the Least Common Multiple of 67458 and 67465