What is the Greatest Common Factor of 65064 and 65076?

Greatest common factor (GCF) of 65064 and 65076 is 12.

GCF(65064,65076) = 12

We will now calculate the prime factors of 65064 and 65076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65064 and 65076.

How to find the GCF of 65064 and 65076?

We will first find the prime factorization of 65064 and 65076. After we will calculate the factors of 65064 and 65076 and find the biggest common factor number .

Step-1: Prime Factorization of 65064

Prime factors of 65064 are 2, 3, 2711. Prime factorization of 65064 in exponential form is:

65064 = 2³ × 3¹ × 2711¹

Step-2: Prime Factorization of 65076

Prime factors of 65076 are 2, 3, 11, 17, 29. Prime factorization of 65076 in exponential form is:

65076 = 2² × 3¹ × 11¹ × 17¹ × 29¹

Step-3: Factors of 65064

List of positive integer factors of 65064 that divides 65064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2711, 5422, 8133, 10844, 16266, 21688, 32532

Step-4: Factors of 65076

List of positive integer factors of 65076 that divides 65064 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 29, 33, 34, 44, 51, 58, 66, 68, 87, 102, 116, 132, 174, 187, 204, 319, 348, 374, 493, 561, 638, 748, 957, 986, 1122, 1276, 1479, 1914, 1972, 2244, 2958, 3828, 5423, 5916, 10846, 16269, 21692, 32538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65064 and 65076. The biggest common factor number is the GCF number.
So the greatest common factor 65064 and 65076 is 12.

Also check out the Least Common Multiple of 65064 and 65076