What is the Greatest Common Factor of 77154 and 77163?

Greatest common factor (GCF) of 77154 and 77163 is 3.

GCF(77154,77163) = 3

We will now calculate the prime factors of 77154 and 77163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77154 and 77163.

How to find the GCF of 77154 and 77163?

We will first find the prime factorization of 77154 and 77163. After we will calculate the factors of 77154 and 77163 and find the biggest common factor number .

Step-1: Prime Factorization of 77154

Prime factors of 77154 are 2, 3, 7, 11, 167. Prime factorization of 77154 in exponential form is:

77154 = 2¹ × 3¹ × 7¹ × 11¹ × 167¹

Step-2: Prime Factorization of 77163

Prime factors of 77163 are 3, 17, 89. Prime factorization of 77163 in exponential form is:

77163 = 3¹ × 17² × 89¹

Step-3: Factors of 77154

List of positive integer factors of 77154 that divides 77154 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 167, 231, 334, 462, 501, 1002, 1169, 1837, 2338, 3507, 3674, 5511, 7014, 11022, 12859, 25718, 38577

Step-4: Factors of 77163

List of positive integer factors of 77163 that divides 77154 without a remainder.

1, 3, 17, 51, 89, 267, 289, 867, 1513, 4539, 25721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77154 and 77163. The biggest common factor number is the GCF number.
So the greatest common factor 77154 and 77163 is 3.

Also check out the Least Common Multiple of 77154 and 77163