What is the Greatest Common Factor of 71705 and 71724?

Greatest common factor (GCF) of 71705 and 71724 is 1.

GCF(71705,71724) = 1

We will now calculate the prime factors of 71705 and 71724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71705 and 71724.

How to find the GCF of 71705 and 71724?

We will first find the prime factorization of 71705 and 71724. After we will calculate the factors of 71705 and 71724 and find the biggest common factor number .

Step-1: Prime Factorization of 71705

Prime factors of 71705 are 5, 14341. Prime factorization of 71705 in exponential form is:

71705 = 5¹ × 14341¹

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 71705

List of positive integer factors of 71705 that divides 71705 without a remainder.

1, 5, 14341

Step-4: Factors of 71724

List of positive integer factors of 71724 that divides 71705 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 71705 and 71724. The biggest common factor number is the GCF number.
So the greatest common factor 71705 and 71724 is 1.

Also check out the Least Common Multiple of 71705 and 71724