What is the Greatest Common Factor of 71724 and 71736?

Greatest common factor (GCF) of 71724 and 71736 is 12.

GCF(71724,71736) = 12

We will now calculate the prime factors of 71724 and 71736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71724 and 71736.

How to find the GCF of 71724 and 71736?

We will first find the prime factorization of 71724 and 71736. After we will calculate the factors of 71724 and 71736 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 71736

Prime factors of 71736 are 2, 3, 7, 61. Prime factorization of 71736 in exponential form is:

71736 = 2³ × 3¹ × 7² × 61¹

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 71736

List of positive integer factors of 71736 that divides 71724 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 61, 84, 98, 122, 147, 168, 183, 196, 244, 294, 366, 392, 427, 488, 588, 732, 854, 1176, 1281, 1464, 1708, 2562, 2989, 3416, 5124, 5978, 8967, 10248, 11956, 17934, 23912, 35868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71724 and 71736. The biggest common factor number is the GCF number.
So the greatest common factor 71724 and 71736 is 12.

Also check out the Least Common Multiple of 71724 and 71736