What is the Greatest Common Factor of 62220 and 62240?

Greatest common factor (GCF) of 62220 and 62240 is 20.

GCF(62220,62240) = 20

We will now calculate the prime factors of 62220 and 62240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62220 and 62240.

How to find the GCF of 62220 and 62240?

We will first find the prime factorization of 62220 and 62240. After we will calculate the factors of 62220 and 62240 and find the biggest common factor number .

Step-1: Prime Factorization of 62220

Prime factors of 62220 are 2, 3, 5, 17, 61. Prime factorization of 62220 in exponential form is:

62220 = 2² × 3¹ × 5¹ × 17¹ × 61¹

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 62220

List of positive integer factors of 62220 that divides 62220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 61, 68, 85, 102, 122, 170, 183, 204, 244, 255, 305, 340, 366, 510, 610, 732, 915, 1020, 1037, 1220, 1830, 2074, 3111, 3660, 4148, 5185, 6222, 10370, 12444, 15555, 20740, 31110

Step-4: Factors of 62240

List of positive integer factors of 62240 that divides 62220 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 62220 and 62240. The biggest common factor number is the GCF number.
So the greatest common factor 62220 and 62240 is 20.

Also check out the Least Common Multiple of 62220 and 62240