What is the Greatest Common Factor of 71944 and 71954?

Greatest common factor (GCF) of 71944 and 71954 is 2.

GCF(71944,71954) = 2

We will now calculate the prime factors of 71944 and 71954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71944 and 71954.

How to find the GCF of 71944 and 71954?

We will first find the prime factorization of 71944 and 71954. After we will calculate the factors of 71944 and 71954 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71954

Prime factors of 71954 are 2, 35977. Prime factorization of 71954 in exponential form is:

71954 = 2¹ × 35977¹

Step-3: Factors of 71944

List of positive integer factors of 71944 that divides 71944 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

Step-4: Factors of 71954

List of positive integer factors of 71954 that divides 71944 without a remainder.

1, 2, 35977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71944 and 71954. The biggest common factor number is the GCF number.
So the greatest common factor 71944 and 71954 is 2.

Also check out the Least Common Multiple of 71944 and 71954