What is the Greatest Common Factor of 62566 and 62584?

Greatest common factor (GCF) of 62566 and 62584 is 2.

GCF(62566,62584) = 2

We will now calculate the prime factors of 62566 and 62584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62566 and 62584.

How to find the GCF of 62566 and 62584?

We will first find the prime factorization of 62566 and 62584. After we will calculate the factors of 62566 and 62584 and find the biggest common factor number .

Step-1: Prime Factorization of 62566

Prime factors of 62566 are 2, 7, 41, 109. Prime factorization of 62566 in exponential form is:

62566 = 2¹ × 7¹ × 41¹ × 109¹

Step-2: Prime Factorization of 62584

Prime factors of 62584 are 2, 7823. Prime factorization of 62584 in exponential form is:

62584 = 2³ × 7823¹

Step-3: Factors of 62566

List of positive integer factors of 62566 that divides 62566 without a remainder.

1, 2, 7, 14, 41, 82, 109, 218, 287, 574, 763, 1526, 4469, 8938, 31283

Step-4: Factors of 62584

List of positive integer factors of 62584 that divides 62566 without a remainder.

1, 2, 4, 8, 7823, 15646, 31292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62566 and 62584. The biggest common factor number is the GCF number.
So the greatest common factor 62566 and 62584 is 2.

Also check out the Least Common Multiple of 62566 and 62584