What is the Greatest Common Factor of 64945 and 64950?

Greatest common factor (GCF) of 64945 and 64950 is 5.

GCF(64945,64950) = 5

We will now calculate the prime factors of 64945 and 64950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64945 and 64950.

How to find the GCF of 64945 and 64950?

We will first find the prime factorization of 64945 and 64950. After we will calculate the factors of 64945 and 64950 and find the biggest common factor number .

Step-1: Prime Factorization of 64945

Prime factors of 64945 are 5, 31, 419. Prime factorization of 64945 in exponential form is:

64945 = 5¹ × 31¹ × 419¹

Step-2: Prime Factorization of 64950

Prime factors of 64950 are 2, 3, 5, 433. Prime factorization of 64950 in exponential form is:

64950 = 2¹ × 3¹ × 5² × 433¹

Step-3: Factors of 64945

List of positive integer factors of 64945 that divides 64945 without a remainder.

1, 5, 31, 155, 419, 2095, 12989

Step-4: Factors of 64950

List of positive integer factors of 64950 that divides 64945 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 433, 866, 1299, 2165, 2598, 4330, 6495, 10825, 12990, 21650, 32475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64945 and 64950. The biggest common factor number is the GCF number.
So the greatest common factor 64945 and 64950 is 5.

Also check out the Least Common Multiple of 64945 and 64950