What is the Greatest Common Factor of 64832 and 64850?

Greatest common factor (GCF) of 64832 and 64850 is 2.

GCF(64832,64850) = 2

We will now calculate the prime factors of 64832 and 64850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64832 and 64850.

How to find the GCF of 64832 and 64850?

We will first find the prime factorization of 64832 and 64850. After we will calculate the factors of 64832 and 64850 and find the biggest common factor number .

Step-1: Prime Factorization of 64832

Prime factors of 64832 are 2, 1013. Prime factorization of 64832 in exponential form is:

64832 = 2⁶ × 1013¹

Step-2: 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-3: Factors of 64832

List of positive integer factors of 64832 that divides 64832 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1013, 2026, 4052, 8104, 16208, 32416

Step-4: Factors of 64850

List of positive integer factors of 64850 that divides 64832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64832 and 64850. The biggest common factor number is the GCF number.
So the greatest common factor 64832 and 64850 is 2.

Also check out the Least Common Multiple of 64832 and 64850