What is the Greatest Common Factor of 71736 and 71749?

Greatest common factor (GCF) of 71736 and 71749 is 1.

GCF(71736,71749) = 1

We will now calculate the prime factors of 71736 and 71749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71736 and 71749.

How to find the GCF of 71736 and 71749?

We will first find the prime factorization of 71736 and 71749. After we will calculate the factors of 71736 and 71749 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 71749

Prime factors of 71749 are 157, 457. Prime factorization of 71749 in exponential form is:

71749 = 157¹ × 457¹

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 71749

List of positive integer factors of 71749 that divides 71736 without a remainder.

1, 157, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71736 and 71749. The biggest common factor number is the GCF number.
So the greatest common factor 71736 and 71749 is 1.

Also check out the Least Common Multiple of 71736 and 71749