What is the Greatest Common Factor of 66200 and 66216?

Greatest common factor (GCF) of 66200 and 66216 is 8.

GCF(66200,66216) = 8

We will now calculate the prime factors of 66200 and 66216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66200 and 66216.

How to find the GCF of 66200 and 66216?

We will first find the prime factorization of 66200 and 66216. After we will calculate the factors of 66200 and 66216 and find the biggest common factor number .

Step-1: Prime Factorization of 66200

Prime factors of 66200 are 2, 5, 331. Prime factorization of 66200 in exponential form is:

66200 = 2³ × 5² × 331¹

Step-2: Prime Factorization of 66216

Prime factors of 66216 are 2, 3, 31, 89. Prime factorization of 66216 in exponential form is:

66216 = 2³ × 3¹ × 31¹ × 89¹

Step-3: Factors of 66200

List of positive integer factors of 66200 that divides 66200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 331, 662, 1324, 1655, 2648, 3310, 6620, 8275, 13240, 16550, 33100

Step-4: Factors of 66216

List of positive integer factors of 66216 that divides 66200 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 89, 93, 124, 178, 186, 248, 267, 356, 372, 534, 712, 744, 1068, 2136, 2759, 5518, 8277, 11036, 16554, 22072, 33108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66200 and 66216. The biggest common factor number is the GCF number.
So the greatest common factor 66200 and 66216 is 8.

Also check out the Least Common Multiple of 66200 and 66216