What is the Greatest Common Factor of 71736 and 71743?

Greatest common factor (GCF) of 71736 and 71743 is 7.

GCF(71736,71743) = 7

We will now calculate the prime factors of 71736 and 71743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71736 and 71743.

How to find the GCF of 71736 and 71743?

We will first find the prime factorization of 71736 and 71743. After we will calculate the factors of 71736 and 71743 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71743

Prime factors of 71743 are 7, 37, 277. Prime factorization of 71743 in exponential form is:

71743 = 7¹ × 37¹ × 277¹

Step-3: Factors of 71736

List of positive integer factors of 71736 that divides 71736 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

Step-4: Factors of 71743

List of positive integer factors of 71743 that divides 71736 without a remainder.

1, 7, 37, 259, 277, 1939, 10249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71736 and 71743. The biggest common factor number is the GCF number.
So the greatest common factor 71736 and 71743 is 7.

Also check out the Least Common Multiple of 71736 and 71743