What is the Greatest Common Factor of 71226 and 71234?

Greatest common factor (GCF) of 71226 and 71234 is 2.

GCF(71226,71234) = 2

We will now calculate the prime factors of 71226 and 71234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71226 and 71234.

How to find the GCF of 71226 and 71234?

We will first find the prime factorization of 71226 and 71234. After we will calculate the factors of 71226 and 71234 and find the biggest common factor number .

Step-1: Prime Factorization of 71226

Prime factors of 71226 are 2, 3, 1319. Prime factorization of 71226 in exponential form is:

71226 = 2¹ × 3³ × 1319¹

Step-2: Prime Factorization of 71234

Prime factors of 71234 are 2, 35617. Prime factorization of 71234 in exponential form is:

71234 = 2¹ × 35617¹

Step-3: Factors of 71226

List of positive integer factors of 71226 that divides 71226 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1319, 2638, 3957, 7914, 11871, 23742, 35613

Step-4: Factors of 71234

List of positive integer factors of 71234 that divides 71226 without a remainder.

1, 2, 35617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71226 and 71234. The biggest common factor number is the GCF number.
So the greatest common factor 71226 and 71234 is 2.

Also check out the Least Common Multiple of 71226 and 71234