What is the Greatest Common Factor of 64294 and 64311?

Greatest common factor (GCF) of 64294 and 64311 is 17.

GCF(64294,64311) = 17

We will now calculate the prime factors of 64294 and 64311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64294 and 64311.

How to find the GCF of 64294 and 64311?

We will first find the prime factorization of 64294 and 64311. After we will calculate the factors of 64294 and 64311 and find the biggest common factor number .

Step-1: Prime Factorization of 64294

Prime factors of 64294 are 2, 17, 31, 61. Prime factorization of 64294 in exponential form is:

64294 = 2¹ × 17¹ × 31¹ × 61¹

Step-2: Prime Factorization of 64311

Prime factors of 64311 are 3, 13, 17, 97. Prime factorization of 64311 in exponential form is:

64311 = 3¹ × 13¹ × 17¹ × 97¹

Step-3: Factors of 64294

List of positive integer factors of 64294 that divides 64294 without a remainder.

1, 2, 17, 31, 34, 61, 62, 122, 527, 1037, 1054, 1891, 2074, 3782, 32147

Step-4: Factors of 64311

List of positive integer factors of 64311 that divides 64294 without a remainder.

1, 3, 13, 17, 39, 51, 97, 221, 291, 663, 1261, 1649, 3783, 4947, 21437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64294 and 64311. The biggest common factor number is the GCF number.
So the greatest common factor 64294 and 64311 is 17.

Also check out the Least Common Multiple of 64294 and 64311