What is the Greatest Common Factor of 62409 and 62418?

Greatest common factor (GCF) of 62409 and 62418 is 3.

GCF(62409,62418) = 3

We will now calculate the prime factors of 62409 and 62418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62409 and 62418.

How to find the GCF of 62409 and 62418?

We will first find the prime factorization of 62409 and 62418. After we will calculate the factors of 62409 and 62418 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 62418

Prime factors of 62418 are 2, 3, 101, 103. Prime factorization of 62418 in exponential form is:

62418 = 2¹ × 3¹ × 101¹ × 103¹

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 62418

List of positive integer factors of 62418 that divides 62409 without a remainder.

1, 2, 3, 6, 101, 103, 202, 206, 303, 309, 606, 618, 10403, 20806, 31209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62409 and 62418. The biggest common factor number is the GCF number.
So the greatest common factor 62409 and 62418 is 3.

Also check out the Least Common Multiple of 62409 and 62418