What is the Greatest Common Factor of 77196 and 77209?

Greatest common factor (GCF) of 77196 and 77209 is 1.

GCF(77196,77209) = 1

We will now calculate the prime factors of 77196 and 77209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77196 and 77209.

How to find the GCF of 77196 and 77209?

We will first find the prime factorization of 77196 and 77209. After we will calculate the factors of 77196 and 77209 and find the biggest common factor number .

Step-1: Prime Factorization of 77196

Prime factors of 77196 are 2, 3, 7, 919. Prime factorization of 77196 in exponential form is:

77196 = 2² × 3¹ × 7¹ × 919¹

Step-2: Prime Factorization of 77209

Prime factors of 77209 are 11, 7019. Prime factorization of 77209 in exponential form is:

77209 = 11¹ × 7019¹

Step-3: Factors of 77196

List of positive integer factors of 77196 that divides 77196 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 919, 1838, 2757, 3676, 5514, 6433, 11028, 12866, 19299, 25732, 38598

Step-4: Factors of 77209

List of positive integer factors of 77209 that divides 77196 without a remainder.

1, 11, 7019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77196 and 77209. The biggest common factor number is the GCF number.
So the greatest common factor 77196 and 77209 is 1.

Also check out the Least Common Multiple of 77196 and 77209