What is the Greatest Common Factor of 62224 and 62240?

Greatest common factor (GCF) of 62224 and 62240 is 16.

GCF(62224,62240) = 16

We will now calculate the prime factors of 62224 and 62240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62224 and 62240.

How to find the GCF of 62224 and 62240?

We will first find the prime factorization of 62224 and 62240. After we will calculate the factors of 62224 and 62240 and find the biggest common factor number .

Step-1: Prime Factorization of 62224

Prime factors of 62224 are 2, 3889. Prime factorization of 62224 in exponential form is:

62224 = 2⁴ × 3889¹

Step-2: 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-3: Factors of 62224

List of positive integer factors of 62224 that divides 62224 without a remainder.

1, 2, 4, 8, 16, 3889, 7778, 15556, 31112

Step-4: Factors of 62240

List of positive integer factors of 62240 that divides 62224 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62224 and 62240. The biggest common factor number is the GCF number.
So the greatest common factor 62224 and 62240 is 16.

Also check out the Least Common Multiple of 62224 and 62240