What is the Greatest Common Factor of 64064 and 64077?

Greatest common factor (GCF) of 64064 and 64077 is 13.

GCF(64064,64077) = 13

We will now calculate the prime factors of 64064 and 64077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64064 and 64077.

How to find the GCF of 64064 and 64077?

We will first find the prime factorization of 64064 and 64077. After we will calculate the factors of 64064 and 64077 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 64077

Prime factors of 64077 are 3, 13, 31, 53. Prime factorization of 64077 in exponential form is:

64077 = 3¹ × 13¹ × 31¹ × 53¹

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 64077

List of positive integer factors of 64077 that divides 64064 without a remainder.

1, 3, 13, 31, 39, 53, 93, 159, 403, 689, 1209, 1643, 2067, 4929, 21359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64064 and 64077. The biggest common factor number is the GCF number.
So the greatest common factor 64064 and 64077 is 13.

Also check out the Least Common Multiple of 64064 and 64077