What is the Greatest Common Factor of 46266 and 46277?

Greatest common factor (GCF) of 46266 and 46277 is 11.

GCF(46266,46277) = 11

We will now calculate the prime factors of 46266 and 46277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46266 and 46277.

How to find the GCF of 46266 and 46277?

We will first find the prime factorization of 46266 and 46277. After we will calculate the factors of 46266 and 46277 and find the biggest common factor number .

Step-1: Prime Factorization of 46266

Prime factors of 46266 are 2, 3, 11, 701. Prime factorization of 46266 in exponential form is:

46266 = 2¹ × 3¹ × 11¹ × 701¹

Step-2: Prime Factorization of 46277

Prime factors of 46277 are 7, 11, 601. Prime factorization of 46277 in exponential form is:

46277 = 7¹ × 11¹ × 601¹

Step-3: Factors of 46266

List of positive integer factors of 46266 that divides 46266 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 701, 1402, 2103, 4206, 7711, 15422, 23133

Step-4: Factors of 46277

List of positive integer factors of 46277 that divides 46266 without a remainder.

1, 7, 11, 77, 601, 4207, 6611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46266 and 46277. The biggest common factor number is the GCF number.
So the greatest common factor 46266 and 46277 is 11.

Also check out the Least Common Multiple of 46266 and 46277