What is the Greatest Common Factor of 66261 and 66276?

Greatest common factor (GCF) of 66261 and 66276 is 3.

GCF(66261,66276) = 3

We will now calculate the prime factors of 66261 and 66276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66261 and 66276.

How to find the GCF of 66261 and 66276?

We will first find the prime factorization of 66261 and 66276. After we will calculate the factors of 66261 and 66276 and find the biggest common factor number .

Step-1: Prime Factorization of 66261

Prime factors of 66261 are 3, 13, 1699. Prime factorization of 66261 in exponential form is:

66261 = 3¹ × 13¹ × 1699¹

Step-2: Prime Factorization of 66276

Prime factors of 66276 are 2, 3, 7, 263. Prime factorization of 66276 in exponential form is:

66276 = 2² × 3² × 7¹ × 263¹

Step-3: Factors of 66261

List of positive integer factors of 66261 that divides 66261 without a remainder.

1, 3, 13, 39, 1699, 5097, 22087

Step-4: Factors of 66276

List of positive integer factors of 66276 that divides 66261 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 263, 526, 789, 1052, 1578, 1841, 2367, 3156, 3682, 4734, 5523, 7364, 9468, 11046, 16569, 22092, 33138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66261 and 66276. The biggest common factor number is the GCF number.
So the greatest common factor 66261 and 66276 is 3.

Also check out the Least Common Multiple of 66261 and 66276