What is the Greatest Common Factor of 64294 and 64304?

Greatest common factor (GCF) of 64294 and 64304 is 2.

GCF(64294,64304) = 2

We will now calculate the prime factors of 64294 and 64304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64294 and 64304.

How to find the GCF of 64294 and 64304?

We will first find the prime factorization of 64294 and 64304. After we will calculate the factors of 64294 and 64304 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 64304

Prime factors of 64304 are 2, 4019. Prime factorization of 64304 in exponential form is:

64304 = 2⁴ × 4019¹

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 64304

List of positive integer factors of 64304 that divides 64294 without a remainder.

1, 2, 4, 8, 16, 4019, 8038, 16076, 32152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64294 and 64304. The biggest common factor number is the GCF number.
So the greatest common factor 64294 and 64304 is 2.

Also check out the Least Common Multiple of 64294 and 64304