What is the Greatest Common Factor of 65208 and 65219?

Greatest common factor (GCF) of 65208 and 65219 is 11.

GCF(65208,65219) = 11

We will now calculate the prime factors of 65208 and 65219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65208 and 65219.

How to find the GCF of 65208 and 65219?

We will first find the prime factorization of 65208 and 65219. After we will calculate the factors of 65208 and 65219 and find the biggest common factor number .

Step-1: Prime Factorization of 65208

Prime factors of 65208 are 2, 3, 11, 13, 19. Prime factorization of 65208 in exponential form is:

65208 = 2³ × 3¹ × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 65219

Prime factors of 65219 are 7, 11. Prime factorization of 65219 in exponential form is:

65219 = 7² × 11³

Step-3: Factors of 65208

List of positive integer factors of 65208 that divides 65208 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 19, 22, 24, 26, 33, 38, 39, 44, 52, 57, 66, 76, 78, 88, 104, 114, 132, 143, 152, 156, 209, 228, 247, 264, 286, 312, 418, 429, 456, 494, 572, 627, 741, 836, 858, 988, 1144, 1254, 1482, 1672, 1716, 1976, 2508, 2717, 2964, 3432, 5016, 5434, 5928, 8151, 10868, 16302, 21736, 32604

Step-4: Factors of 65219

List of positive integer factors of 65219 that divides 65208 without a remainder.

1, 7, 11, 49, 77, 121, 539, 847, 1331, 5929, 9317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65208 and 65219. The biggest common factor number is the GCF number.
So the greatest common factor 65208 and 65219 is 11.

Also check out the Least Common Multiple of 65208 and 65219