What is the Greatest Common Factor of 64999 and 65010?

Greatest common factor (GCF) of 64999 and 65010 is 11.

GCF(64999,65010) = 11

We will now calculate the prime factors of 64999 and 65010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64999 and 65010.

How to find the GCF of 64999 and 65010?

We will first find the prime factorization of 64999 and 65010. After we will calculate the factors of 64999 and 65010 and find the biggest common factor number .

Step-1: Prime Factorization of 64999

Prime factors of 64999 are 11, 19, 311. Prime factorization of 64999 in exponential form is:

64999 = 11¹ × 19¹ × 311¹

Step-2: Prime Factorization of 65010

Prime factors of 65010 are 2, 3, 5, 11, 197. Prime factorization of 65010 in exponential form is:

65010 = 2¹ × 3¹ × 5¹ × 11¹ × 197¹

Step-3: Factors of 64999

List of positive integer factors of 64999 that divides 64999 without a remainder.

1, 11, 19, 209, 311, 3421, 5909

Step-4: Factors of 65010

List of positive integer factors of 65010 that divides 64999 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 197, 330, 394, 591, 985, 1182, 1970, 2167, 2955, 4334, 5910, 6501, 10835, 13002, 21670, 32505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64999 and 65010. The biggest common factor number is the GCF number.
So the greatest common factor 64999 and 65010 is 11.

Also check out the Least Common Multiple of 64999 and 65010