What is the Greatest Common Factor of 62409 and 62427?

Greatest common factor (GCF) of 62409 and 62427 is 3.

GCF(62409,62427) = 3

We will now calculate the prime factors of 62409 and 62427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62409 and 62427.

How to find the GCF of 62409 and 62427?

We will first find the prime factorization of 62409 and 62427. After we will calculate the factors of 62409 and 62427 and find the biggest common factor number .

Step-1: Prime Factorization of 62409

Prime factors of 62409 are 3, 71, 293. Prime factorization of 62409 in exponential form is:

62409 = 3¹ × 71¹ × 293¹

Step-2: Prime Factorization of 62427

Prime factors of 62427 are 3, 20809. Prime factorization of 62427 in exponential form is:

62427 = 3¹ × 20809¹

Step-3: Factors of 62409

List of positive integer factors of 62409 that divides 62409 without a remainder.

1, 3, 71, 213, 293, 879, 20803

Step-4: Factors of 62427

List of positive integer factors of 62427 that divides 62409 without a remainder.

1, 3, 20809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62409 and 62427. The biggest common factor number is the GCF number.
So the greatest common factor 62409 and 62427 is 3.

Also check out the Least Common Multiple of 62409 and 62427