What is the Greatest Common Factor of 67405 and 67415?

Greatest common factor (GCF) of 67405 and 67415 is 5.

GCF(67405,67415) = 5

We will now calculate the prime factors of 67405 and 67415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67405 and 67415.

How to find the GCF of 67405 and 67415?

We will first find the prime factorization of 67405 and 67415. After we will calculate the factors of 67405 and 67415 and find the biggest common factor number .

Step-1: Prime Factorization of 67405

Prime factors of 67405 are 5, 13, 17, 61. Prime factorization of 67405 in exponential form is:

67405 = 5¹ × 13¹ × 17¹ × 61¹

Step-2: Prime Factorization of 67415

Prime factors of 67415 are 5, 97, 139. Prime factorization of 67415 in exponential form is:

67415 = 5¹ × 97¹ × 139¹

Step-3: Factors of 67405

List of positive integer factors of 67405 that divides 67405 without a remainder.

1, 5, 13, 17, 61, 65, 85, 221, 305, 793, 1037, 1105, 3965, 5185, 13481

Step-4: Factors of 67415

List of positive integer factors of 67415 that divides 67405 without a remainder.

1, 5, 97, 139, 485, 695, 13483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67405 and 67415. The biggest common factor number is the GCF number.
So the greatest common factor 67405 and 67415 is 5.

Also check out the Least Common Multiple of 67405 and 67415