What is the Greatest Common Factor of 77159 and 77178?

Greatest common factor (GCF) of 77159 and 77178 is 19.

GCF(77159,77178) = 19

We will now calculate the prime factors of 77159 and 77178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77159 and 77178.

How to find the GCF of 77159 and 77178?

We will first find the prime factorization of 77159 and 77178. After we will calculate the factors of 77159 and 77178 and find the biggest common factor number .

Step-1: Prime Factorization of 77159

Prime factors of 77159 are 19, 31, 131. Prime factorization of 77159 in exponential form is:

77159 = 19¹ × 31¹ × 131¹

Step-2: Prime Factorization of 77178

Prime factors of 77178 are 2, 3, 19, 677. Prime factorization of 77178 in exponential form is:

77178 = 2¹ × 3¹ × 19¹ × 677¹

Step-3: Factors of 77159

List of positive integer factors of 77159 that divides 77159 without a remainder.

1, 19, 31, 131, 589, 2489, 4061

Step-4: Factors of 77178

List of positive integer factors of 77178 that divides 77159 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 677, 1354, 2031, 4062, 12863, 25726, 38589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77159 and 77178. The biggest common factor number is the GCF number.
So the greatest common factor 77159 and 77178 is 19.

Also check out the Least Common Multiple of 77159 and 77178