What is the Greatest Common Factor of 76209 and 76226?

Greatest common factor (GCF) of 76209 and 76226 is 1.

GCF(76209,76226) = 1

We will now calculate the prime factors of 76209 and 76226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76209 and 76226.

How to find the GCF of 76209 and 76226?

We will first find the prime factorization of 76209 and 76226. After we will calculate the factors of 76209 and 76226 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76226

Prime factors of 76226 are 2, 38113. Prime factorization of 76226 in exponential form is:

76226 = 2¹ × 38113¹

Step-3: Factors of 76209

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

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

Step-4: Factors of 76226

List of positive integer factors of 76226 that divides 76209 without a remainder.

1, 2, 38113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76209 and 76226. The biggest common factor number is the GCF number.
So the greatest common factor 76209 and 76226 is 1.

Also check out the Least Common Multiple of 76209 and 76226