What is the Greatest Common Factor of 81732 and 81744?

Greatest common factor (GCF) of 81732 and 81744 is 12.

GCF(81732,81744) = 12

We will now calculate the prime factors of 81732 and 81744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81732 and 81744.

How to find the GCF of 81732 and 81744?

We will first find the prime factorization of 81732 and 81744. After we will calculate the factors of 81732 and 81744 and find the biggest common factor number .

Step-1: Prime Factorization of 81732

Prime factors of 81732 are 2, 3, 7, 139. Prime factorization of 81732 in exponential form is:

81732 = 2² × 3¹ × 7² × 139¹

Step-2: Prime Factorization of 81744

Prime factors of 81744 are 2, 3, 13, 131. Prime factorization of 81744 in exponential form is:

81744 = 2⁴ × 3¹ × 13¹ × 131¹

Step-3: Factors of 81732

List of positive integer factors of 81732 that divides 81732 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 139, 147, 196, 278, 294, 417, 556, 588, 834, 973, 1668, 1946, 2919, 3892, 5838, 6811, 11676, 13622, 20433, 27244, 40866

Step-4: Factors of 81744

List of positive integer factors of 81744 that divides 81732 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 131, 156, 208, 262, 312, 393, 524, 624, 786, 1048, 1572, 1703, 2096, 3144, 3406, 5109, 6288, 6812, 10218, 13624, 20436, 27248, 40872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81732 and 81744. The biggest common factor number is the GCF number.
So the greatest common factor 81732 and 81744 is 12.

Also check out the Least Common Multiple of 81732 and 81744