What is the Greatest Common Factor of 66262 and 66276?

Greatest common factor (GCF) of 66262 and 66276 is 14.

GCF(66262,66276) = 14

We will now calculate the prime factors of 66262 and 66276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66262 and 66276.

How to find the GCF of 66262 and 66276?

We will first find the prime factorization of 66262 and 66276. After we will calculate the factors of 66262 and 66276 and find the biggest common factor number .

Step-1: Prime Factorization of 66262

Prime factors of 66262 are 2, 7, 4733. Prime factorization of 66262 in exponential form is:

66262 = 2¹ × 7¹ × 4733¹

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 66262

List of positive integer factors of 66262 that divides 66262 without a remainder.

1, 2, 7, 14, 4733, 9466, 33131

Step-4: Factors of 66276

List of positive integer factors of 66276 that divides 66262 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 66262 and 66276. The biggest common factor number is the GCF number.
So the greatest common factor 66262 and 66276 is 14.

Also check out the Least Common Multiple of 66262 and 66276