What is the Greatest Common Factor of 64815 and 64823?

Greatest common factor (GCF) of 64815 and 64823 is 1.

GCF(64815,64823) = 1

We will now calculate the prime factors of 64815 and 64823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64815 and 64823.

How to find the GCF of 64815 and 64823?

We will first find the prime factorization of 64815 and 64823. After we will calculate the factors of 64815 and 64823 and find the biggest common factor number .

Step-1: Prime Factorization of 64815

Prime factors of 64815 are 3, 5, 29, 149. Prime factorization of 64815 in exponential form is:

64815 = 3¹ × 5¹ × 29¹ × 149¹

Step-2: Prime Factorization of 64823

Prime factors of 64823 are 11, 71, 83. Prime factorization of 64823 in exponential form is:

64823 = 11¹ × 71¹ × 83¹

Step-3: Factors of 64815

List of positive integer factors of 64815 that divides 64815 without a remainder.

1, 3, 5, 15, 29, 87, 145, 149, 435, 447, 745, 2235, 4321, 12963, 21605

Step-4: Factors of 64823

List of positive integer factors of 64823 that divides 64815 without a remainder.

1, 11, 71, 83, 781, 913, 5893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64815 and 64823. The biggest common factor number is the GCF number.
So the greatest common factor 64815 and 64823 is 1.

Also check out the Least Common Multiple of 64815 and 64823