What is the Greatest Common Factor of 71226 and 71244?

Greatest common factor (GCF) of 71226 and 71244 is 18.

GCF(71226,71244) = 18

We will now calculate the prime factors of 71226 and 71244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71226 and 71244.

How to find the GCF of 71226 and 71244?

We will first find the prime factorization of 71226 and 71244. After we will calculate the factors of 71226 and 71244 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 71244

Prime factors of 71244 are 2, 3, 1979. Prime factorization of 71244 in exponential form is:

71244 = 2² × 3² × 1979¹

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 71244

List of positive integer factors of 71244 that divides 71226 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1979, 3958, 5937, 7916, 11874, 17811, 23748, 35622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71226 and 71244. The biggest common factor number is the GCF number.
So the greatest common factor 71226 and 71244 is 18.

Also check out the Least Common Multiple of 71226 and 71244