What is the Greatest Common Factor of 77165 and 77174?

Greatest common factor (GCF) of 77165 and 77174 is 1.

GCF(77165,77174) = 1

We will now calculate the prime factors of 77165 and 77174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77165 and 77174.

How to find the GCF of 77165 and 77174?

We will first find the prime factorization of 77165 and 77174. After we will calculate the factors of 77165 and 77174 and find the biggest common factor number .

Step-1: Prime Factorization of 77165

Prime factors of 77165 are 5, 11, 23, 61. Prime factorization of 77165 in exponential form is:

77165 = 5¹ × 11¹ × 23¹ × 61¹

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 77165

List of positive integer factors of 77165 that divides 77165 without a remainder.

1, 5, 11, 23, 55, 61, 115, 253, 305, 671, 1265, 1403, 3355, 7015, 15433

Step-4: Factors of 77174

List of positive integer factors of 77174 that divides 77165 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77165 and 77174. The biggest common factor number is the GCF number.
So the greatest common factor 77165 and 77174 is 1.

Also check out the Least Common Multiple of 77165 and 77174