What is the Greatest Common Factor of 64064 and 64071?

Greatest common factor (GCF) of 64064 and 64071 is 7.

GCF(64064,64071) = 7

We will now calculate the prime factors of 64064 and 64071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64064 and 64071.

How to find the GCF of 64064 and 64071?

We will first find the prime factorization of 64064 and 64071. After we will calculate the factors of 64064 and 64071 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 64071

Prime factors of 64071 are 3, 7, 113. Prime factorization of 64071 in exponential form is:

64071 = 3⁴ × 7¹ × 113¹

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 64071

List of positive integer factors of 64071 that divides 64064 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 113, 189, 339, 567, 791, 1017, 2373, 3051, 7119, 9153, 21357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64064 and 64071. The biggest common factor number is the GCF number.
So the greatest common factor 64064 and 64071 is 7.

Also check out the Least Common Multiple of 64064 and 64071