What is the Greatest Common Factor of 62561 and 62566?

Greatest common factor (GCF) of 62561 and 62566 is 1.

GCF(62561,62566) = 1

We will now calculate the prime factors of 62561 and 62566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62561 and 62566.

How to find the GCF of 62561 and 62566?

We will first find the prime factorization of 62561 and 62566. After we will calculate the factors of 62561 and 62566 and find the biggest common factor number .

Step-1: Prime Factorization of 62561

Prime factors of 62561 are 73, 857. Prime factorization of 62561 in exponential form is:

62561 = 73¹ × 857¹

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 62561

List of positive integer factors of 62561 that divides 62561 without a remainder.

1, 73, 857

Step-4: Factors of 62566

List of positive integer factors of 62566 that divides 62561 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 62561 and 62566. The biggest common factor number is the GCF number.
So the greatest common factor 62561 and 62566 is 1.

Also check out the Least Common Multiple of 62561 and 62566