What is the Greatest Common Factor of 64236 and 64250?

Greatest common factor (GCF) of 64236 and 64250 is 2.

GCF(64236,64250) = 2

We will now calculate the prime factors of 64236 and 64250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64236 and 64250.

How to find the GCF of 64236 and 64250?

We will first find the prime factorization of 64236 and 64250. After we will calculate the factors of 64236 and 64250 and find the biggest common factor number .

Step-1: Prime Factorization of 64236

Prime factors of 64236 are 2, 3, 53, 101. Prime factorization of 64236 in exponential form is:

64236 = 2² × 3¹ × 53¹ × 101¹

Step-2: 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-3: Factors of 64236

List of positive integer factors of 64236 that divides 64236 without a remainder.

1, 2, 3, 4, 6, 12, 53, 101, 106, 159, 202, 212, 303, 318, 404, 606, 636, 1212, 5353, 10706, 16059, 21412, 32118

Step-4: Factors of 64250

List of positive integer factors of 64250 that divides 64236 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64236 and 64250. The biggest common factor number is the GCF number.
So the greatest common factor 64236 and 64250 is 2.

Also check out the Least Common Multiple of 64236 and 64250