What is the Greatest Common Factor of 62240 and 62256?

Greatest common factor (GCF) of 62240 and 62256 is 16.

GCF(62240,62256) = 16

We will now calculate the prime factors of 62240 and 62256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62240 and 62256.

How to find the GCF of 62240 and 62256?

We will first find the prime factorization of 62240 and 62256. After we will calculate the factors of 62240 and 62256 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 62256

Prime factors of 62256 are 2, 3, 1297. Prime factorization of 62256 in exponential form is:

62256 = 2⁴ × 3¹ × 1297¹

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 62256

List of positive integer factors of 62256 that divides 62240 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1297, 2594, 3891, 5188, 7782, 10376, 15564, 20752, 31128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62240 and 62256. The biggest common factor number is the GCF number.
So the greatest common factor 62240 and 62256 is 16.

Also check out the Least Common Multiple of 62240 and 62256