What is the Greatest Common Factor of 71736 and 71746?

Greatest common factor (GCF) of 71736 and 71746 is 2.

GCF(71736,71746) = 2

We will now calculate the prime factors of 71736 and 71746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71736 and 71746.

How to find the GCF of 71736 and 71746?

We will first find the prime factorization of 71736 and 71746. After we will calculate the factors of 71736 and 71746 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 71746

Prime factors of 71746 are 2, 29, 1237. Prime factorization of 71746 in exponential form is:

71746 = 2¹ × 29¹ × 1237¹

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 71746

List of positive integer factors of 71746 that divides 71736 without a remainder.

1, 2, 29, 58, 1237, 2474, 35873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71736 and 71746. The biggest common factor number is the GCF number.
So the greatest common factor 71736 and 71746 is 2.

Also check out the Least Common Multiple of 71736 and 71746