What is the Greatest Common Factor of 76209 and 76222?

Greatest common factor (GCF) of 76209 and 76222 is 1.

GCF(76209,76222) = 1

We will now calculate the prime factors of 76209 and 76222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76209 and 76222.

How to find the GCF of 76209 and 76222?

We will first find the prime factorization of 76209 and 76222. After we will calculate the factors of 76209 and 76222 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 76222

Prime factors of 76222 are 2, 23, 1657. Prime factorization of 76222 in exponential form is:

76222 = 2¹ × 23¹ × 1657¹

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 76222

List of positive integer factors of 76222 that divides 76209 without a remainder.

1, 2, 23, 46, 1657, 3314, 38111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76209 and 76222. The biggest common factor number is the GCF number.
So the greatest common factor 76209 and 76222 is 1.

Also check out the Least Common Multiple of 76209 and 76222