What is the Greatest Common Factor of 76266 and 76271?

Greatest common factor (GCF) of 76266 and 76271 is 1.

GCF(76266,76271) = 1

We will now calculate the prime factors of 76266 and 76271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76266 and 76271.

How to find the GCF of 76266 and 76271?

We will first find the prime factorization of 76266 and 76271. After we will calculate the factors of 76266 and 76271 and find the biggest common factor number .

Step-1: Prime Factorization of 76266

Prime factors of 76266 are 2, 3, 19, 223. Prime factorization of 76266 in exponential form is:

76266 = 2¹ × 3² × 19¹ × 223¹

Step-2: Prime Factorization of 76271

Prime factors of 76271 are 13, 5867. Prime factorization of 76271 in exponential form is:

76271 = 13¹ × 5867¹

Step-3: Factors of 76266

List of positive integer factors of 76266 that divides 76266 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 223, 342, 446, 669, 1338, 2007, 4014, 4237, 8474, 12711, 25422, 38133

Step-4: Factors of 76271

List of positive integer factors of 76271 that divides 76266 without a remainder.

1, 13, 5867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76266 and 76271. The biggest common factor number is the GCF number.
So the greatest common factor 76266 and 76271 is 1.

Also check out the Least Common Multiple of 76266 and 76271