What is the Greatest Common Factor of 71729 and 71736?

Greatest common factor (GCF) of 71729 and 71736 is 7.

GCF(71729,71736) = 7

We will now calculate the prime factors of 71729 and 71736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71729 and 71736.

How to find the GCF of 71729 and 71736?

We will first find the prime factorization of 71729 and 71736. After we will calculate the factors of 71729 and 71736 and find the biggest common factor number .

Step-1: Prime Factorization of 71729

Prime factors of 71729 are 7, 10247. Prime factorization of 71729 in exponential form is:

71729 = 7¹ × 10247¹

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 71729

List of positive integer factors of 71729 that divides 71729 without a remainder.

1, 7, 10247

Step-4: Factors of 71736

List of positive integer factors of 71736 that divides 71729 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 71729 and 71736. The biggest common factor number is the GCF number.
So the greatest common factor 71729 and 71736 is 7.

Also check out the Least Common Multiple of 71729 and 71736