What is the Greatest Common Factor of 73788 and 73801?

Greatest common factor (GCF) of 73788 and 73801 is 13.

GCF(73788,73801) = 13

We will now calculate the prime factors of 73788 and 73801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73788 and 73801.

How to find the GCF of 73788 and 73801?

We will first find the prime factorization of 73788 and 73801. After we will calculate the factors of 73788 and 73801 and find the biggest common factor number .

Step-1: Prime Factorization of 73788

Prime factors of 73788 are 2, 3, 11, 13, 43. Prime factorization of 73788 in exponential form is:

73788 = 2² × 3¹ × 11¹ × 13¹ × 43¹

Step-2: Prime Factorization of 73801

Prime factors of 73801 are 7, 13, 811. Prime factorization of 73801 in exponential form is:

73801 = 7¹ × 13¹ × 811¹

Step-3: Factors of 73788

List of positive integer factors of 73788 that divides 73788 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 43, 44, 52, 66, 78, 86, 129, 132, 143, 156, 172, 258, 286, 429, 473, 516, 559, 572, 858, 946, 1118, 1419, 1677, 1716, 1892, 2236, 2838, 3354, 5676, 6149, 6708, 12298, 18447, 24596, 36894

Step-4: Factors of 73801

List of positive integer factors of 73801 that divides 73788 without a remainder.

1, 7, 13, 91, 811, 5677, 10543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73788 and 73801. The biggest common factor number is the GCF number.
So the greatest common factor 73788 and 73801 is 13.

Also check out the Least Common Multiple of 73788 and 73801