What is the Greatest Common Factor of 77154 and 77174?

Greatest common factor (GCF) of 77154 and 77174 is 2.

GCF(77154,77174) = 2

We will now calculate the prime factors of 77154 and 77174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77154 and 77174.

How to find the GCF of 77154 and 77174?

We will first find the prime factorization of 77154 and 77174. After we will calculate the factors of 77154 and 77174 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 77174

Prime factors of 77174 are 2, 47, 821. Prime factorization of 77174 in exponential form is:

77174 = 2¹ × 47¹ × 821¹

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 77174

List of positive integer factors of 77174 that divides 77154 without a remainder.

1, 2, 47, 94, 821, 1642, 38587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77154 and 77174. The biggest common factor number is the GCF number.
So the greatest common factor 77154 and 77174 is 2.

Also check out the Least Common Multiple of 77154 and 77174