What is the Greatest Common Factor of 71724 and 71731?

Greatest common factor (GCF) of 71724 and 71731 is 1.

GCF(71724,71731) = 1

We will now calculate the prime factors of 71724 and 71731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71724 and 71731.

How to find the GCF of 71724 and 71731?

We will first find the prime factorization of 71724 and 71731. After we will calculate the factors of 71724 and 71731 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 71731

Prime factors of 71731 are 11, 6521. Prime factorization of 71731 in exponential form is:

71731 = 11¹ × 6521¹

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 71731

List of positive integer factors of 71731 that divides 71724 without a remainder.

1, 11, 6521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71724 and 71731. The biggest common factor number is the GCF number.
So the greatest common factor 71724 and 71731 is 1.

Also check out the Least Common Multiple of 71724 and 71731