What is the Greatest Common Factor of 71927 and 71944?

Greatest common factor (GCF) of 71927 and 71944 is 17.

GCF(71927,71944) = 17

We will now calculate the prime factors of 71927 and 71944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71927 and 71944.

How to find the GCF of 71927 and 71944?

We will first find the prime factorization of 71927 and 71944. After we will calculate the factors of 71927 and 71944 and find the biggest common factor number .

Step-1: Prime Factorization of 71927

Prime factors of 71927 are 17, 4231. Prime factorization of 71927 in exponential form is:

71927 = 17¹ × 4231¹

Step-2: Prime Factorization of 71944

Prime factors of 71944 are 2, 17, 23. Prime factorization of 71944 in exponential form is:

71944 = 2³ × 17¹ × 23²

Step-3: Factors of 71927

List of positive integer factors of 71927 that divides 71927 without a remainder.

1, 17, 4231

Step-4: Factors of 71944

List of positive integer factors of 71944 that divides 71927 without a remainder.

1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 529, 782, 1058, 1564, 2116, 3128, 4232, 8993, 17986, 35972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71927 and 71944. The biggest common factor number is the GCF number.
So the greatest common factor 71927 and 71944 is 17.

Also check out the Least Common Multiple of 71927 and 71944