What is the Greatest Common Factor of 64048 and 64064?

Greatest common factor (GCF) of 64048 and 64064 is 16.

GCF(64048,64064) = 16

We will now calculate the prime factors of 64048 and 64064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64048 and 64064.

How to find the GCF of 64048 and 64064?

We will first find the prime factorization of 64048 and 64064. After we will calculate the factors of 64048 and 64064 and find the biggest common factor number .

Step-1: Prime Factorization of 64048

Prime factors of 64048 are 2, 4003. Prime factorization of 64048 in exponential form is:

64048 = 2⁴ × 4003¹

Step-2: 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-3: Factors of 64048

List of positive integer factors of 64048 that divides 64048 without a remainder.

1, 2, 4, 8, 16, 4003, 8006, 16012, 32024

Step-4: Factors of 64064

List of positive integer factors of 64064 that divides 64048 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64048 and 64064. The biggest common factor number is the GCF number.
So the greatest common factor 64048 and 64064 is 16.

Also check out the Least Common Multiple of 64048 and 64064