What is the Greatest Common Factor of 66310 and 66330?

Greatest common factor (GCF) of 66310 and 66330 is 10.

GCF(66310,66330) = 10

We will now calculate the prime factors of 66310 and 66330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66310 and 66330.

How to find the GCF of 66310 and 66330?

We will first find the prime factorization of 66310 and 66330. After we will calculate the factors of 66310 and 66330 and find the biggest common factor number .

Step-1: Prime Factorization of 66310

Prime factors of 66310 are 2, 5, 19, 349. Prime factorization of 66310 in exponential form is:

66310 = 2¹ × 5¹ × 19¹ × 349¹

Step-2: Prime Factorization of 66330

Prime factors of 66330 are 2, 3, 5, 11, 67. Prime factorization of 66330 in exponential form is:

66330 = 2¹ × 3² × 5¹ × 11¹ × 67¹

Step-3: Factors of 66310

List of positive integer factors of 66310 that divides 66310 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 349, 698, 1745, 3490, 6631, 13262, 33155

Step-4: Factors of 66330

List of positive integer factors of 66330 that divides 66310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 67, 90, 99, 110, 134, 165, 198, 201, 330, 335, 402, 495, 603, 670, 737, 990, 1005, 1206, 1474, 2010, 2211, 3015, 3685, 4422, 6030, 6633, 7370, 11055, 13266, 22110, 33165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66310 and 66330. The biggest common factor number is the GCF number.
So the greatest common factor 66310 and 66330 is 10.

Also check out the Least Common Multiple of 66310 and 66330