What is the Greatest Common Factor of 64850 and 64866?

Greatest common factor (GCF) of 64850 and 64866 is 2.

GCF(64850,64866) = 2

We will now calculate the prime factors of 64850 and 64866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64850 and 64866.

How to find the GCF of 64850 and 64866?

We will first find the prime factorization of 64850 and 64866. After we will calculate the factors of 64850 and 64866 and find the biggest common factor number .

Step-1: Prime Factorization of 64850

Prime factors of 64850 are 2, 5, 1297. Prime factorization of 64850 in exponential form is:

64850 = 2¹ × 5² × 1297¹

Step-2: Prime Factorization of 64866

Prime factors of 64866 are 2, 3, 19, 569. Prime factorization of 64866 in exponential form is:

64866 = 2¹ × 3¹ × 19¹ × 569¹

Step-3: Factors of 64850

List of positive integer factors of 64850 that divides 64850 without a remainder.

1, 2, 5, 10, 25, 50, 1297, 2594, 6485, 12970, 32425

Step-4: Factors of 64866

List of positive integer factors of 64866 that divides 64850 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 569, 1138, 1707, 3414, 10811, 21622, 32433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64850 and 64866. The biggest common factor number is the GCF number.
So the greatest common factor 64850 and 64866 is 2.

Also check out the Least Common Multiple of 64850 and 64866