What is the Greatest Common Factor of 64823 and 64834?

Greatest common factor (GCF) of 64823 and 64834 is 11.

GCF(64823,64834) = 11

We will now calculate the prime factors of 64823 and 64834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64823 and 64834.

How to find the GCF of 64823 and 64834?

We will first find the prime factorization of 64823 and 64834. After we will calculate the factors of 64823 and 64834 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64834

Prime factors of 64834 are 2, 7, 11, 421. Prime factorization of 64834 in exponential form is:

64834 = 2¹ × 7¹ × 11¹ × 421¹

Step-3: Factors of 64823

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

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

Step-4: Factors of 64834

List of positive integer factors of 64834 that divides 64823 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 421, 842, 2947, 4631, 5894, 9262, 32417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64823 and 64834. The biggest common factor number is the GCF number.
So the greatest common factor 64823 and 64834 is 11.

Also check out the Least Common Multiple of 64823 and 64834