What is the Greatest Common Factor of 79156 and 79167?

Greatest common factor (GCF) of 79156 and 79167 is 11.

GCF(79156,79167) = 11

We will now calculate the prime factors of 79156 and 79167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79156 and 79167.

How to find the GCF of 79156 and 79167?

We will first find the prime factorization of 79156 and 79167. After we will calculate the factors of 79156 and 79167 and find the biggest common factor number .

Step-1: Prime Factorization of 79156

Prime factors of 79156 are 2, 7, 11, 257. Prime factorization of 79156 in exponential form is:

79156 = 2² × 7¹ × 11¹ × 257¹

Step-2: Prime Factorization of 79167

Prime factors of 79167 are 3, 11, 2399. Prime factorization of 79167 in exponential form is:

79167 = 3¹ × 11¹ × 2399¹

Step-3: Factors of 79156

List of positive integer factors of 79156 that divides 79156 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 257, 308, 514, 1028, 1799, 2827, 3598, 5654, 7196, 11308, 19789, 39578

Step-4: Factors of 79167

List of positive integer factors of 79167 that divides 79156 without a remainder.

1, 3, 11, 33, 2399, 7197, 26389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79156 and 79167. The biggest common factor number is the GCF number.
So the greatest common factor 79156 and 79167 is 11.

Also check out the Least Common Multiple of 79156 and 79167