What is the Greatest Common Factor of 71244 and 71258?

Greatest common factor (GCF) of 71244 and 71258 is 2.

GCF(71244,71258) = 2

We will now calculate the prime factors of 71244 and 71258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71244 and 71258.

How to find the GCF of 71244 and 71258?

We will first find the prime factorization of 71244 and 71258. After we will calculate the factors of 71244 and 71258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71258

Prime factors of 71258 are 2, 11, 41, 79. Prime factorization of 71258 in exponential form is:

71258 = 2¹ × 11¹ × 41¹ × 79¹

Step-3: Factors of 71244

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

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

Step-4: Factors of 71258

List of positive integer factors of 71258 that divides 71244 without a remainder.

1, 2, 11, 22, 41, 79, 82, 158, 451, 869, 902, 1738, 3239, 6478, 35629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71244 and 71258. The biggest common factor number is the GCF number.
So the greatest common factor 71244 and 71258 is 2.

Also check out the Least Common Multiple of 71244 and 71258