What is the Greatest Common Factor of 76869 and 76888?

Greatest common factor (GCF) of 76869 and 76888 is 1.

GCF(76869,76888) = 1

We will now calculate the prime factors of 76869 and 76888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76869 and 76888.

How to find the GCF of 76869 and 76888?

We will first find the prime factorization of 76869 and 76888. After we will calculate the factors of 76869 and 76888 and find the biggest common factor number .

Step-1: Prime Factorization of 76869

Prime factors of 76869 are 3, 13, 73. Prime factorization of 76869 in exponential form is:

76869 = 3⁴ × 13¹ × 73¹

Step-2: Prime Factorization of 76888

Prime factors of 76888 are 2, 7, 1373. Prime factorization of 76888 in exponential form is:

76888 = 2³ × 7¹ × 1373¹

Step-3: Factors of 76869

List of positive integer factors of 76869 that divides 76869 without a remainder.

1, 3, 9, 13, 27, 39, 73, 81, 117, 219, 351, 657, 949, 1053, 1971, 2847, 5913, 8541, 25623

Step-4: Factors of 76888

List of positive integer factors of 76888 that divides 76869 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1373, 2746, 5492, 9611, 10984, 19222, 38444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76869 and 76888. The biggest common factor number is the GCF number.
So the greatest common factor 76869 and 76888 is 1.

Also check out the Least Common Multiple of 76869 and 76888