What is the Greatest Common Factor of 64209 and 64220?

Greatest common factor (GCF) of 64209 and 64220 is 1.

GCF(64209,64220) = 1

We will now calculate the prime factors of 64209 and 64220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64209 and 64220.

How to find the GCF of 64209 and 64220?

We will first find the prime factorization of 64209 and 64220. After we will calculate the factors of 64209 and 64220 and find the biggest common factor number .

Step-1: Prime Factorization of 64209

Prime factors of 64209 are 3, 17, 1259. Prime factorization of 64209 in exponential form is:

64209 = 3¹ × 17¹ × 1259¹

Step-2: 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-3: Factors of 64209

List of positive integer factors of 64209 that divides 64209 without a remainder.

1, 3, 17, 51, 1259, 3777, 21403

Step-4: Factors of 64220

List of positive integer factors of 64220 that divides 64209 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64209 and 64220. The biggest common factor number is the GCF number.
So the greatest common factor 64209 and 64220 is 1.

Also check out the Least Common Multiple of 64209 and 64220