What is the Greatest Common Factor of 65296 and 65308?

Greatest common factor (GCF) of 65296 and 65308 is 4.

GCF(65296,65308) = 4

We will now calculate the prime factors of 65296 and 65308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65296 and 65308.

How to find the GCF of 65296 and 65308?

We will first find the prime factorization of 65296 and 65308. After we will calculate the factors of 65296 and 65308 and find the biggest common factor number .

Step-1: Prime Factorization of 65296

Prime factors of 65296 are 2, 7, 11, 53. Prime factorization of 65296 in exponential form is:

65296 = 2⁴ × 7¹ × 11¹ × 53¹

Step-2: Prime Factorization of 65308

Prime factors of 65308 are 2, 29, 563. Prime factorization of 65308 in exponential form is:

65308 = 2² × 29¹ × 563¹

Step-3: Factors of 65296

List of positive integer factors of 65296 that divides 65296 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 53, 56, 77, 88, 106, 112, 154, 176, 212, 308, 371, 424, 583, 616, 742, 848, 1166, 1232, 1484, 2332, 2968, 4081, 4664, 5936, 8162, 9328, 16324, 32648

Step-4: Factors of 65308

List of positive integer factors of 65308 that divides 65296 without a remainder.

1, 2, 4, 29, 58, 116, 563, 1126, 2252, 16327, 32654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65296 and 65308. The biggest common factor number is the GCF number.
So the greatest common factor 65296 and 65308 is 4.

Also check out the Least Common Multiple of 65296 and 65308