What is the Greatest Common Factor of 76896 and 76900?

Greatest common factor (GCF) of 76896 and 76900 is 4.

GCF(76896,76900) = 4

We will now calculate the prime factors of 76896 and 76900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76896 and 76900.

How to find the GCF of 76896 and 76900?

We will first find the prime factorization of 76896 and 76900. After we will calculate the factors of 76896 and 76900 and find the biggest common factor number .

Step-1: Prime Factorization of 76896

Prime factors of 76896 are 2, 3, 89. Prime factorization of 76896 in exponential form is:

76896 = 2⁵ × 3³ × 89¹

Step-2: Prime Factorization of 76900

Prime factors of 76900 are 2, 5, 769. Prime factorization of 76900 in exponential form is:

76900 = 2² × 5² × 769¹

Step-3: Factors of 76896

List of positive integer factors of 76896 that divides 76896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 89, 96, 108, 144, 178, 216, 267, 288, 356, 432, 534, 712, 801, 864, 1068, 1424, 1602, 2136, 2403, 2848, 3204, 4272, 4806, 6408, 8544, 9612, 12816, 19224, 25632, 38448

Step-4: Factors of 76900

List of positive integer factors of 76900 that divides 76896 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 769, 1538, 3076, 3845, 7690, 15380, 19225, 38450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76896 and 76900. The biggest common factor number is the GCF number.
So the greatest common factor 76896 and 76900 is 4.

Also check out the Least Common Multiple of 76896 and 76900