What is the Greatest Common Factor of 66225 and 66234?

Greatest common factor (GCF) of 66225 and 66234 is 3.

GCF(66225,66234) = 3

We will now calculate the prime factors of 66225 and 66234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66225 and 66234.

How to find the GCF of 66225 and 66234?

We will first find the prime factorization of 66225 and 66234. After we will calculate the factors of 66225 and 66234 and find the biggest common factor number .

Step-1: Prime Factorization of 66225

Prime factors of 66225 are 3, 5, 883. Prime factorization of 66225 in exponential form is:

66225 = 3¹ × 5² × 883¹

Step-2: Prime Factorization of 66234

Prime factors of 66234 are 2, 3, 7, 19, 83. Prime factorization of 66234 in exponential form is:

66234 = 2¹ × 3¹ × 7¹ × 19¹ × 83¹

Step-3: Factors of 66225

List of positive integer factors of 66225 that divides 66225 without a remainder.

1, 3, 5, 15, 25, 75, 883, 2649, 4415, 13245, 22075

Step-4: Factors of 66234

List of positive integer factors of 66234 that divides 66225 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 83, 114, 133, 166, 249, 266, 399, 498, 581, 798, 1162, 1577, 1743, 3154, 3486, 4731, 9462, 11039, 22078, 33117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66225 and 66234. The biggest common factor number is the GCF number.
So the greatest common factor 66225 and 66234 is 3.

Also check out the Least Common Multiple of 66225 and 66234