What is the Greatest Common Factor of 62240 and 62259?

Greatest common factor (GCF) of 62240 and 62259 is 1.

GCF(62240,62259) = 1

We will now calculate the prime factors of 62240 and 62259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62240 and 62259.

How to find the GCF of 62240 and 62259?

We will first find the prime factorization of 62240 and 62259. After we will calculate the factors of 62240 and 62259 and find the biggest common factor number .

Step-1: Prime Factorization of 62240

Prime factors of 62240 are 2, 5, 389. Prime factorization of 62240 in exponential form is:

62240 = 2⁵ × 5¹ × 389¹

Step-2: Prime Factorization of 62259

Prime factors of 62259 are 3, 20753. Prime factorization of 62259 in exponential form is:

62259 = 3¹ × 20753¹

Step-3: Factors of 62240

List of positive integer factors of 62240 that divides 62240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 389, 778, 1556, 1945, 3112, 3890, 6224, 7780, 12448, 15560, 31120

Step-4: Factors of 62259

List of positive integer factors of 62259 that divides 62240 without a remainder.

1, 3, 20753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62240 and 62259. The biggest common factor number is the GCF number.
So the greatest common factor 62240 and 62259 is 1.

Also check out the Least Common Multiple of 62240 and 62259