What is the Greatest Common Factor of 64250 and 64258?

Greatest common factor (GCF) of 64250 and 64258 is 2.

GCF(64250,64258) = 2

We will now calculate the prime factors of 64250 and 64258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64250 and 64258.

How to find the GCF of 64250 and 64258?

We will first find the prime factorization of 64250 and 64258. After we will calculate the factors of 64250 and 64258 and find the biggest common factor number .

Step-1: Prime Factorization of 64250

Prime factors of 64250 are 2, 5, 257. Prime factorization of 64250 in exponential form is:

64250 = 2¹ × 5³ × 257¹

Step-2: Prime Factorization of 64258

Prime factors of 64258 are 2, 19, 89. Prime factorization of 64258 in exponential form is:

64258 = 2¹ × 19² × 89¹

Step-3: Factors of 64250

List of positive integer factors of 64250 that divides 64250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 257, 514, 1285, 2570, 6425, 12850, 32125

Step-4: Factors of 64258

List of positive integer factors of 64258 that divides 64250 without a remainder.

1, 2, 19, 38, 89, 178, 361, 722, 1691, 3382, 32129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64250 and 64258. The biggest common factor number is the GCF number.
So the greatest common factor 64250 and 64258 is 2.

Also check out the Least Common Multiple of 64250 and 64258