What is the Greatest Common Factor of 64064 and 64076?

Greatest common factor (GCF) of 64064 and 64076 is 4.

GCF(64064,64076) = 4

We will now calculate the prime factors of 64064 and 64076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64064 and 64076.

How to find the GCF of 64064 and 64076?

We will first find the prime factorization of 64064 and 64076. After we will calculate the factors of 64064 and 64076 and find the biggest common factor number .

Step-1: Prime Factorization of 64064

Prime factors of 64064 are 2, 7, 11, 13. Prime factorization of 64064 in exponential form is:

64064 = 2⁶ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 64076

Prime factors of 64076 are 2, 83, 193. Prime factorization of 64076 in exponential form is:

64076 = 2² × 83¹ × 193¹

Step-3: Factors of 64064

List of positive integer factors of 64064 that divides 64064 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 32, 44, 52, 56, 64, 77, 88, 91, 104, 112, 143, 154, 176, 182, 208, 224, 286, 308, 352, 364, 416, 448, 572, 616, 704, 728, 832, 1001, 1144, 1232, 1456, 2002, 2288, 2464, 2912, 4004, 4576, 4928, 5824, 8008, 9152, 16016, 32032

Step-4: Factors of 64076

List of positive integer factors of 64076 that divides 64064 without a remainder.

1, 2, 4, 83, 166, 193, 332, 386, 772, 16019, 32038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64064 and 64076. The biggest common factor number is the GCF number.
So the greatest common factor 64064 and 64076 is 4.

Also check out the Least Common Multiple of 64064 and 64076