What is the Greatest Common Factor of 71724 and 71741?

Greatest common factor (GCF) of 71724 and 71741 is 1.

GCF(71724,71741) = 1

We will now calculate the prime factors of 71724 and 71741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71724 and 71741.

How to find the GCF of 71724 and 71741?

We will first find the prime factorization of 71724 and 71741. After we will calculate the factors of 71724 and 71741 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71741

Prime factors of 71741 are 71741. Prime factorization of 71741 in exponential form is:

71741 = 71741¹

Step-3: Factors of 71724

List of positive integer factors of 71724 that divides 71724 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

Step-4: Factors of 71741

List of positive integer factors of 71741 that divides 71724 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71724 and 71741. The biggest common factor number is the GCF number.
So the greatest common factor 71724 and 71741 is 1.

Also check out the Least Common Multiple of 71724 and 71741