What is the Greatest Common Factor of 64220 and 64240?

Greatest common factor (GCF) of 64220 and 64240 is 20.

GCF(64220,64240) = 20

We will now calculate the prime factors of 64220 and 64240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64220 and 64240.

How to find the GCF of 64220 and 64240?

We will first find the prime factorization of 64220 and 64240. After we will calculate the factors of 64220 and 64240 and find the biggest common factor number .

Step-1: Prime Factorization of 64220

Prime factors of 64220 are 2, 5, 13, 19. Prime factorization of 64220 in exponential form is:

64220 = 2² × 5¹ × 13² × 19¹

Step-2: Prime Factorization of 64240

Prime factors of 64240 are 2, 5, 11, 73. Prime factorization of 64240 in exponential form is:

64240 = 2⁴ × 5¹ × 11¹ × 73¹

Step-3: Factors of 64220

List of positive integer factors of 64220 that divides 64220 without a remainder.

1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 169, 190, 247, 260, 338, 380, 494, 676, 845, 988, 1235, 1690, 2470, 3211, 3380, 4940, 6422, 12844, 16055, 32110

Step-4: Factors of 64240

List of positive integer factors of 64240 that divides 64220 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 73, 80, 88, 110, 146, 176, 220, 292, 365, 440, 584, 730, 803, 880, 1168, 1460, 1606, 2920, 3212, 4015, 5840, 6424, 8030, 12848, 16060, 32120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64220 and 64240. The biggest common factor number is the GCF number.
So the greatest common factor 64220 and 64240 is 20.

Also check out the Least Common Multiple of 64220 and 64240