What is the Greatest Common Factor of 62385 and 62405?

Greatest common factor (GCF) of 62385 and 62405 is 5.

GCF(62385,62405) = 5

We will now calculate the prime factors of 62385 and 62405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62385 and 62405.

How to find the GCF of 62385 and 62405?

We will first find the prime factorization of 62385 and 62405. After we will calculate the factors of 62385 and 62405 and find the biggest common factor number .

Step-1: Prime Factorization of 62385

Prime factors of 62385 are 3, 5, 4159. Prime factorization of 62385 in exponential form is:

62385 = 3¹ × 5¹ × 4159¹

Step-2: Prime Factorization of 62405

Prime factors of 62405 are 5, 7, 1783. Prime factorization of 62405 in exponential form is:

62405 = 5¹ × 7¹ × 1783¹

Step-3: Factors of 62385

List of positive integer factors of 62385 that divides 62385 without a remainder.

1, 3, 5, 15, 4159, 12477, 20795

Step-4: Factors of 62405

List of positive integer factors of 62405 that divides 62385 without a remainder.

1, 5, 7, 35, 1783, 8915, 12481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62385 and 62405. The biggest common factor number is the GCF number.
So the greatest common factor 62385 and 62405 is 5.

Also check out the Least Common Multiple of 62385 and 62405