What is the Greatest Common Factor of 66250 and 66265?

Greatest common factor (GCF) of 66250 and 66265 is 5.

GCF(66250,66265) = 5

We will now calculate the prime factors of 66250 and 66265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66250 and 66265.

How to find the GCF of 66250 and 66265?

We will first find the prime factorization of 66250 and 66265. After we will calculate the factors of 66250 and 66265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66265

Prime factors of 66265 are 5, 29, 457. Prime factorization of 66265 in exponential form is:

66265 = 5¹ × 29¹ × 457¹

Step-3: Factors of 66250

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

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

Step-4: Factors of 66265

List of positive integer factors of 66265 that divides 66250 without a remainder.

1, 5, 29, 145, 457, 2285, 13253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66250 and 66265. The biggest common factor number is the GCF number.
So the greatest common factor 66250 and 66265 is 5.

Also check out the Least Common Multiple of 66250 and 66265