What is the Greatest Common Factor of 71704 and 71724?

Greatest common factor (GCF) of 71704 and 71724 is 4.

GCF(71704,71724) = 4

We will now calculate the prime factors of 71704 and 71724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71704 and 71724.

How to find the GCF of 71704 and 71724?

We will first find the prime factorization of 71704 and 71724. After we will calculate the factors of 71704 and 71724 and find the biggest common factor number .

Step-1: Prime Factorization of 71704

Prime factors of 71704 are 2, 8963. Prime factorization of 71704 in exponential form is:

71704 = 2³ × 8963¹

Step-2: Prime Factorization of 71724

Prime factors of 71724 are 2, 3, 43, 139. Prime factorization of 71724 in exponential form is:

71724 = 2² × 3¹ × 43¹ × 139¹

Step-3: Factors of 71704

List of positive integer factors of 71704 that divides 71704 without a remainder.

1, 2, 4, 8, 8963, 17926, 35852

Step-4: Factors of 71724

List of positive integer factors of 71724 that divides 71704 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 139, 172, 258, 278, 417, 516, 556, 834, 1668, 5977, 11954, 17931, 23908, 35862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71704 and 71724. The biggest common factor number is the GCF number.
So the greatest common factor 71704 and 71724 is 4.

Also check out the Least Common Multiple of 71704 and 71724