What is the Greatest Common Factor of 67405 and 67420?

Greatest common factor (GCF) of 67405 and 67420 is 5.

GCF(67405,67420) = 5

We will now calculate the prime factors of 67405 and 67420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67405 and 67420.

How to find the GCF of 67405 and 67420?

We will first find the prime factorization of 67405 and 67420. After we will calculate the factors of 67405 and 67420 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 67420

Prime factors of 67420 are 2, 5, 3371. Prime factorization of 67420 in exponential form is:

67420 = 2² × 5¹ × 3371¹

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 67420

List of positive integer factors of 67420 that divides 67405 without a remainder.

1, 2, 4, 5, 10, 20, 3371, 6742, 13484, 16855, 33710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67405 and 67420. The biggest common factor number is the GCF number.
So the greatest common factor 67405 and 67420 is 5.

Also check out the Least Common Multiple of 67405 and 67420