What is the Greatest Common Factor of 62562 and 62566?

Greatest common factor (GCF) of 62562 and 62566 is 2.

GCF(62562,62566) = 2

We will now calculate the prime factors of 62562 and 62566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62562 and 62566.

How to find the GCF of 62562 and 62566?

We will first find the prime factorization of 62562 and 62566. After we will calculate the factors of 62562 and 62566 and find the biggest common factor number .

Step-1: Prime Factorization of 62562

Prime factors of 62562 are 2, 3, 10427. Prime factorization of 62562 in exponential form is:

62562 = 2¹ × 3¹ × 10427¹

Step-2: 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-3: Factors of 62562

List of positive integer factors of 62562 that divides 62562 without a remainder.

1, 2, 3, 6, 10427, 20854, 31281

Step-4: Factors of 62566

List of positive integer factors of 62566 that divides 62562 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62562 and 62566. The biggest common factor number is the GCF number.
So the greatest common factor 62562 and 62566 is 2.

Also check out the Least Common Multiple of 62562 and 62566