What is the Greatest Common Factor of 66236 and 66250?

Greatest common factor (GCF) of 66236 and 66250 is 2.

GCF(66236,66250) = 2

We will now calculate the prime factors of 66236 and 66250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66236 and 66250.

How to find the GCF of 66236 and 66250?

We will first find the prime factorization of 66236 and 66250. After we will calculate the factors of 66236 and 66250 and find the biggest common factor number .

Step-1: Prime Factorization of 66236

Prime factors of 66236 are 2, 29, 571. Prime factorization of 66236 in exponential form is:

66236 = 2² × 29¹ × 571¹

Step-2: Prime Factorization of 66250

Prime factors of 66250 are 2, 5, 53. Prime factorization of 66250 in exponential form is:

66250 = 2¹ × 5⁴ × 53¹

Step-3: Factors of 66236

List of positive integer factors of 66236 that divides 66236 without a remainder.

1, 2, 4, 29, 58, 116, 571, 1142, 2284, 16559, 33118

Step-4: Factors of 66250

List of positive integer factors of 66250 that divides 66236 without a remainder.

1, 2, 5, 10, 25, 50, 53, 106, 125, 250, 265, 530, 625, 1250, 1325, 2650, 6625, 13250, 33125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66236 and 66250. The biggest common factor number is the GCF number.
So the greatest common factor 66236 and 66250 is 2.

Also check out the Least Common Multiple of 66236 and 66250