What is the Greatest Common Factor of 64064 and 64079?

Greatest common factor (GCF) of 64064 and 64079 is 1.

GCF(64064,64079) = 1

We will now calculate the prime factors of 64064 and 64079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64064 and 64079.

How to find the GCF of 64064 and 64079?

We will first find the prime factorization of 64064 and 64079. After we will calculate the factors of 64064 and 64079 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 64079

Prime factors of 64079 are 139, 461. Prime factorization of 64079 in exponential form is:

64079 = 139¹ × 461¹

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 64079

List of positive integer factors of 64079 that divides 64064 without a remainder.

1, 139, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64064 and 64079. The biggest common factor number is the GCF number.
So the greatest common factor 64064 and 64079 is 1.

Also check out the Least Common Multiple of 64064 and 64079