What is the Greatest Common Factor of 73768 and 73788?

Greatest common factor (GCF) of 73768 and 73788 is 4.

GCF(73768,73788) = 4

We will now calculate the prime factors of 73768 and 73788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73768 and 73788.

How to find the GCF of 73768 and 73788?

We will first find the prime factorization of 73768 and 73788. After we will calculate the factors of 73768 and 73788 and find the biggest common factor number .

Step-1: Prime Factorization of 73768

Prime factors of 73768 are 2, 9221. Prime factorization of 73768 in exponential form is:

73768 = 2³ × 9221¹

Step-2: 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-3: Factors of 73768

List of positive integer factors of 73768 that divides 73768 without a remainder.

1, 2, 4, 8, 9221, 18442, 36884

Step-4: Factors of 73788

List of positive integer factors of 73788 that divides 73768 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73768 and 73788. The biggest common factor number is the GCF number.
So the greatest common factor 73768 and 73788 is 4.

Also check out the Least Common Multiple of 73768 and 73788