What is the Greatest Common Factor of 64825 and 64844?

Greatest common factor (GCF) of 64825 and 64844 is 1.

GCF(64825,64844) = 1

We will now calculate the prime factors of 64825 and 64844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64825 and 64844.

How to find the GCF of 64825 and 64844?

We will first find the prime factorization of 64825 and 64844. After we will calculate the factors of 64825 and 64844 and find the biggest common factor number .

Step-1: Prime Factorization of 64825

Prime factors of 64825 are 5, 2593. Prime factorization of 64825 in exponential form is:

64825 = 5² × 2593¹

Step-2: Prime Factorization of 64844

Prime factors of 64844 are 2, 13, 29, 43. Prime factorization of 64844 in exponential form is:

64844 = 2² × 13¹ × 29¹ × 43¹

Step-3: Factors of 64825

List of positive integer factors of 64825 that divides 64825 without a remainder.

1, 5, 25, 2593, 12965

Step-4: Factors of 64844

List of positive integer factors of 64844 that divides 64825 without a remainder.

1, 2, 4, 13, 26, 29, 43, 52, 58, 86, 116, 172, 377, 559, 754, 1118, 1247, 1508, 2236, 2494, 4988, 16211, 32422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64825 and 64844. The biggest common factor number is the GCF number.
So the greatest common factor 64825 and 64844 is 1.

Also check out the Least Common Multiple of 64825 and 64844