What is the Greatest Common Factor of 62560 and 62566?

Greatest common factor (GCF) of 62560 and 62566 is 2.

GCF(62560,62566) = 2

We will now calculate the prime factors of 62560 and 62566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62560 and 62566.

How to find the GCF of 62560 and 62566?

We will first find the prime factorization of 62560 and 62566. After we will calculate the factors of 62560 and 62566 and find the biggest common factor number .

Step-1: Prime Factorization of 62560

Prime factors of 62560 are 2, 5, 17, 23. Prime factorization of 62560 in exponential form is:

62560 = 2⁵ × 5¹ × 17¹ × 23¹

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 62560

List of positive integer factors of 62560 that divides 62560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 23, 32, 34, 40, 46, 68, 80, 85, 92, 115, 136, 160, 170, 184, 230, 272, 340, 368, 391, 460, 544, 680, 736, 782, 920, 1360, 1564, 1840, 1955, 2720, 3128, 3680, 3910, 6256, 7820, 12512, 15640, 31280

Step-4: Factors of 62566

List of positive integer factors of 62566 that divides 62560 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 62560 and 62566. The biggest common factor number is the GCF number.
So the greatest common factor 62560 and 62566 is 2.

Also check out the Least Common Multiple of 62560 and 62566