What is the Greatest Common Factor of 76892 and 76896?

Greatest common factor (GCF) of 76892 and 76896 is 4.

GCF(76892,76896) = 4

We will now calculate the prime factors of 76892 and 76896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76892 and 76896.

How to find the GCF of 76892 and 76896?

We will first find the prime factorization of 76892 and 76896. After we will calculate the factors of 76892 and 76896 and find the biggest common factor number .

Step-1: Prime Factorization of 76892

Prime factors of 76892 are 2, 47, 409. Prime factorization of 76892 in exponential form is:

76892 = 2² × 47¹ × 409¹

Step-2: 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-3: Factors of 76892

List of positive integer factors of 76892 that divides 76892 without a remainder.

1, 2, 4, 47, 94, 188, 409, 818, 1636, 19223, 38446

Step-4: Factors of 76896

List of positive integer factors of 76896 that divides 76892 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76892 and 76896. The biggest common factor number is the GCF number.
So the greatest common factor 76892 and 76896 is 4.

Also check out the Least Common Multiple of 76892 and 76896