What is the Greatest Common Factor of 76190 and 76209?

Greatest common factor (GCF) of 76190 and 76209 is 19.

GCF(76190,76209) = 19

We will now calculate the prime factors of 76190 and 76209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76190 and 76209.

How to find the GCF of 76190 and 76209?

We will first find the prime factorization of 76190 and 76209. After we will calculate the factors of 76190 and 76209 and find the biggest common factor number .

Step-1: Prime Factorization of 76190

Prime factors of 76190 are 2, 5, 19, 401. Prime factorization of 76190 in exponential form is:

76190 = 2¹ × 5¹ × 19¹ × 401¹

Step-2: Prime Factorization of 76209

Prime factors of 76209 are 3, 7, 19, 191. Prime factorization of 76209 in exponential form is:

76209 = 3¹ × 7¹ × 19¹ × 191¹

Step-3: Factors of 76190

List of positive integer factors of 76190 that divides 76190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 401, 802, 2005, 4010, 7619, 15238, 38095

Step-4: Factors of 76209

List of positive integer factors of 76209 that divides 76190 without a remainder.

1, 3, 7, 19, 21, 57, 133, 191, 399, 573, 1337, 3629, 4011, 10887, 25403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76190 and 76209. The biggest common factor number is the GCF number.
So the greatest common factor 76190 and 76209 is 19.

Also check out the Least Common Multiple of 76190 and 76209