What is the Greatest Common Factor of 67455 and 67465?

Greatest common factor (GCF) of 67455 and 67465 is 5.

GCF(67455,67465) = 5

We will now calculate the prime factors of 67455 and 67465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67455 and 67465.

How to find the GCF of 67455 and 67465?

We will first find the prime factorization of 67455 and 67465. After we will calculate the factors of 67455 and 67465 and find the biggest common factor number .

Step-1: Prime Factorization of 67455

Prime factors of 67455 are 3, 5, 1499. Prime factorization of 67455 in exponential form is:

67455 = 3² × 5¹ × 1499¹

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 67455

List of positive integer factors of 67455 that divides 67455 without a remainder.

1, 3, 5, 9, 15, 45, 1499, 4497, 7495, 13491, 22485

Step-4: Factors of 67465

List of positive integer factors of 67465 that divides 67455 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67455 and 67465. The biggest common factor number is the GCF number.
So the greatest common factor 67455 and 67465 is 5.

Also check out the Least Common Multiple of 67455 and 67465