What is the Greatest Common Factor of 62566 and 62582?

Greatest common factor (GCF) of 62566 and 62582 is 2.

GCF(62566,62582) = 2

We will now calculate the prime factors of 62566 and 62582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62566 and 62582.

How to find the GCF of 62566 and 62582?

We will first find the prime factorization of 62566 and 62582. After we will calculate the factors of 62566 and 62582 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 62582

Prime factors of 62582 are 2, 13, 29, 83. Prime factorization of 62582 in exponential form is:

62582 = 2¹ × 13¹ × 29¹ × 83¹

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 62582

List of positive integer factors of 62582 that divides 62566 without a remainder.

1, 2, 13, 26, 29, 58, 83, 166, 377, 754, 1079, 2158, 2407, 4814, 31291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62566 and 62582. The biggest common factor number is the GCF number.
So the greatest common factor 62566 and 62582 is 2.

Also check out the Least Common Multiple of 62566 and 62582