What is the Greatest Common Factor of 62805 and 62810?

Greatest common factor (GCF) of 62805 and 62810 is 5.

GCF(62805,62810) = 5

We will now calculate the prime factors of 62805 and 62810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62805 and 62810.

How to find the GCF of 62805 and 62810?

We will first find the prime factorization of 62805 and 62810. After we will calculate the factors of 62805 and 62810 and find the biggest common factor number .

Step-1: Prime Factorization of 62805

Prime factors of 62805 are 3, 5, 53, 79. Prime factorization of 62805 in exponential form is:

62805 = 3¹ × 5¹ × 53¹ × 79¹

Step-2: Prime Factorization of 62810

Prime factors of 62810 are 2, 5, 11, 571. Prime factorization of 62810 in exponential form is:

62810 = 2¹ × 5¹ × 11¹ × 571¹

Step-3: Factors of 62805

List of positive integer factors of 62805 that divides 62805 without a remainder.

1, 3, 5, 15, 53, 79, 159, 237, 265, 395, 795, 1185, 4187, 12561, 20935

Step-4: Factors of 62810

List of positive integer factors of 62810 that divides 62805 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 571, 1142, 2855, 5710, 6281, 12562, 31405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62805 and 62810. The biggest common factor number is the GCF number.
So the greatest common factor 62805 and 62810 is 5.

Also check out the Least Common Multiple of 62805 and 62810