What is the Greatest Common Factor of 64192 and 64209?

Greatest common factor (GCF) of 64192 and 64209 is 17.

GCF(64192,64209) = 17

We will now calculate the prime factors of 64192 and 64209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64192 and 64209.

How to find the GCF of 64192 and 64209?

We will first find the prime factorization of 64192 and 64209. After we will calculate the factors of 64192 and 64209 and find the biggest common factor number .

Step-1: Prime Factorization of 64192

Prime factors of 64192 are 2, 17, 59. Prime factorization of 64192 in exponential form is:

64192 = 2⁶ × 17¹ × 59¹

Step-2: 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-3: Factors of 64192

List of positive integer factors of 64192 that divides 64192 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 59, 64, 68, 118, 136, 236, 272, 472, 544, 944, 1003, 1088, 1888, 2006, 3776, 4012, 8024, 16048, 32096

Step-4: Factors of 64209

List of positive integer factors of 64209 that divides 64192 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64192 and 64209. The biggest common factor number is the GCF number.
So the greatest common factor 64192 and 64209 is 17.

Also check out the Least Common Multiple of 64192 and 64209