What is the Greatest Common Factor of 77174 and 77187?

Greatest common factor (GCF) of 77174 and 77187 is 1.

GCF(77174,77187) = 1

We will now calculate the prime factors of 77174 and 77187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77174 and 77187.

How to find the GCF of 77174 and 77187?

We will first find the prime factorization of 77174 and 77187. After we will calculate the factors of 77174 and 77187 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77187

Prime factors of 77187 are 3, 11, 2339. Prime factorization of 77187 in exponential form is:

77187 = 3¹ × 11¹ × 2339¹

Step-3: Factors of 77174

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

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

Step-4: Factors of 77187

List of positive integer factors of 77187 that divides 77174 without a remainder.

1, 3, 11, 33, 2339, 7017, 25729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77174 and 77187. The biggest common factor number is the GCF number.
So the greatest common factor 77174 and 77187 is 1.

Also check out the Least Common Multiple of 77174 and 77187