What is the Greatest Common Factor of 79255 and 79266?

Greatest common factor (GCF) of 79255 and 79266 is 11.

GCF(79255,79266) = 11

We will now calculate the prime factors of 79255 and 79266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79255 and 79266.

How to find the GCF of 79255 and 79266?

We will first find the prime factorization of 79255 and 79266. After we will calculate the factors of 79255 and 79266 and find the biggest common factor number .

Step-1: Prime Factorization of 79255

Prime factors of 79255 are 5, 11, 131. Prime factorization of 79255 in exponential form is:

79255 = 5¹ × 11² × 131¹

Step-2: Prime Factorization of 79266

Prime factors of 79266 are 2, 3, 11, 1201. Prime factorization of 79266 in exponential form is:

79266 = 2¹ × 3¹ × 11¹ × 1201¹

Step-3: Factors of 79255

List of positive integer factors of 79255 that divides 79255 without a remainder.

1, 5, 11, 55, 121, 131, 605, 655, 1441, 7205, 15851

Step-4: Factors of 79266

List of positive integer factors of 79266 that divides 79255 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1201, 2402, 3603, 7206, 13211, 26422, 39633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79255 and 79266. The biggest common factor number is the GCF number.
So the greatest common factor 79255 and 79266 is 11.

Also check out the Least Common Multiple of 79255 and 79266