What is the Greatest Common Factor of 76226 and 76234?

Greatest common factor (GCF) of 76226 and 76234 is 2.

GCF(76226,76234) = 2

We will now calculate the prime factors of 76226 and 76234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76226 and 76234.

How to find the GCF of 76226 and 76234?

We will first find the prime factorization of 76226 and 76234. After we will calculate the factors of 76226 and 76234 and find the biggest common factor number .

Step-1: Prime Factorization of 76226

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

76226 = 2¹ × 38113¹

Step-2: Prime Factorization of 76234

Prime factors of 76234 are 2, 47, 811. Prime factorization of 76234 in exponential form is:

76234 = 2¹ × 47¹ × 811¹

Step-3: Factors of 76226

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

1, 2, 38113

Step-4: Factors of 76234

List of positive integer factors of 76234 that divides 76226 without a remainder.

1, 2, 47, 94, 811, 1622, 38117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76226 and 76234. The biggest common factor number is the GCF number.
So the greatest common factor 76226 and 76234 is 2.

Also check out the Least Common Multiple of 76226 and 76234