What is the Greatest Common Factor of 77178 and 77197?

Greatest common factor (GCF) of 77178 and 77197 is 19.

GCF(77178,77197) = 19

We will now calculate the prime factors of 77178 and 77197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77178 and 77197.

How to find the GCF of 77178 and 77197?

We will first find the prime factorization of 77178 and 77197. After we will calculate the factors of 77178 and 77197 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77197

Prime factors of 77197 are 17, 19, 239. Prime factorization of 77197 in exponential form is:

77197 = 17¹ × 19¹ × 239¹

Step-3: Factors of 77178

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

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

Step-4: Factors of 77197

List of positive integer factors of 77197 that divides 77178 without a remainder.

1, 17, 19, 239, 323, 4063, 4541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77178 and 77197. The biggest common factor number is the GCF number.
So the greatest common factor 77178 and 77197 is 19.

Also check out the Least Common Multiple of 77178 and 77197