What is the Greatest Common Factor of 71736 and 71754?

Greatest common factor (GCF) of 71736 and 71754 is 6.

GCF(71736,71754) = 6

We will now calculate the prime factors of 71736 and 71754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71736 and 71754.

How to find the GCF of 71736 and 71754?

We will first find the prime factorization of 71736 and 71754. After we will calculate the factors of 71736 and 71754 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 71754

Prime factors of 71754 are 2, 3, 11959. Prime factorization of 71754 in exponential form is:

71754 = 2¹ × 3¹ × 11959¹

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 71754

List of positive integer factors of 71754 that divides 71736 without a remainder.

1, 2, 3, 6, 11959, 23918, 35877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71736 and 71754. The biggest common factor number is the GCF number.
So the greatest common factor 71736 and 71754 is 6.

Also check out the Least Common Multiple of 71736 and 71754