What is the Greatest Common Factor of 64480 and 64493?

Greatest common factor (GCF) of 64480 and 64493 is 13.

GCF(64480,64493) = 13

We will now calculate the prime factors of 64480 and 64493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64480 and 64493.

How to find the GCF of 64480 and 64493?

We will first find the prime factorization of 64480 and 64493. After we will calculate the factors of 64480 and 64493 and find the biggest common factor number .

Step-1: Prime Factorization of 64480

Prime factors of 64480 are 2, 5, 13, 31. Prime factorization of 64480 in exponential form is:

64480 = 2⁵ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 64493

Prime factors of 64493 are 11, 13, 41. Prime factorization of 64493 in exponential form is:

64493 = 11² × 13¹ × 41¹

Step-3: Factors of 64480

List of positive integer factors of 64480 that divides 64480 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 31, 32, 40, 52, 62, 65, 80, 104, 124, 130, 155, 160, 208, 248, 260, 310, 403, 416, 496, 520, 620, 806, 992, 1040, 1240, 1612, 2015, 2080, 2480, 3224, 4030, 4960, 6448, 8060, 12896, 16120, 32240

Step-4: Factors of 64493

List of positive integer factors of 64493 that divides 64480 without a remainder.

1, 11, 13, 41, 121, 143, 451, 533, 1573, 4961, 5863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64480 and 64493. The biggest common factor number is the GCF number.
So the greatest common factor 64480 and 64493 is 13.

Also check out the Least Common Multiple of 64480 and 64493