What is the Greatest Common Factor of 66030 and 66046?

Greatest common factor (GCF) of 66030 and 66046 is 2.

GCF(66030,66046) = 2

We will now calculate the prime factors of 66030 and 66046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66030 and 66046.

How to find the GCF of 66030 and 66046?

We will first find the prime factorization of 66030 and 66046. After we will calculate the factors of 66030 and 66046 and find the biggest common factor number .

Step-1: Prime Factorization of 66030

Prime factors of 66030 are 2, 3, 5, 31, 71. Prime factorization of 66030 in exponential form is:

66030 = 2¹ × 3¹ × 5¹ × 31¹ × 71¹

Step-2: Prime Factorization of 66046

Prime factors of 66046 are 2, 33023. Prime factorization of 66046 in exponential form is:

66046 = 2¹ × 33023¹

Step-3: Factors of 66030

List of positive integer factors of 66030 that divides 66030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 71, 93, 142, 155, 186, 213, 310, 355, 426, 465, 710, 930, 1065, 2130, 2201, 4402, 6603, 11005, 13206, 22010, 33015

Step-4: Factors of 66046

List of positive integer factors of 66046 that divides 66030 without a remainder.

1, 2, 33023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66030 and 66046. The biggest common factor number is the GCF number.
So the greatest common factor 66030 and 66046 is 2.

Also check out the Least Common Multiple of 66030 and 66046