What is the Greatest Common Factor of 66250 and 66270?

Greatest common factor (GCF) of 66250 and 66270 is 10.

GCF(66250,66270) = 10

We will now calculate the prime factors of 66250 and 66270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66250 and 66270.

How to find the GCF of 66250 and 66270?

We will first find the prime factorization of 66250 and 66270. After we will calculate the factors of 66250 and 66270 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 66270

Prime factors of 66270 are 2, 3, 5, 47. Prime factorization of 66270 in exponential form is:

66270 = 2¹ × 3¹ × 5¹ × 47²

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 66270

List of positive integer factors of 66270 that divides 66250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410, 2209, 4418, 6627, 11045, 13254, 22090, 33135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66250 and 66270. The biggest common factor number is the GCF number.
So the greatest common factor 66250 and 66270 is 10.

Also check out the Least Common Multiple of 66250 and 66270