What is the Greatest Common Factor of 96877 and 96888?

Greatest common factor (GCF) of 96877 and 96888 is 11.

GCF(96877,96888) = 11

We will now calculate the prime factors of 96877 and 96888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96877 and 96888.

How to find the GCF of 96877 and 96888?

We will first find the prime factorization of 96877 and 96888. After we will calculate the factors of 96877 and 96888 and find the biggest common factor number .

Step-1: Prime Factorization of 96877

Prime factors of 96877 are 11, 8807. Prime factorization of 96877 in exponential form is:

96877 = 11¹ × 8807¹

Step-2: Prime Factorization of 96888

Prime factors of 96888 are 2, 3, 11, 367. Prime factorization of 96888 in exponential form is:

96888 = 2³ × 3¹ × 11¹ × 367¹

Step-3: Factors of 96877

List of positive integer factors of 96877 that divides 96877 without a remainder.

1, 11, 8807

Step-4: Factors of 96888

List of positive integer factors of 96888 that divides 96877 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 367, 734, 1101, 1468, 2202, 2936, 4037, 4404, 8074, 8808, 12111, 16148, 24222, 32296, 48444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96877 and 96888. The biggest common factor number is the GCF number.
So the greatest common factor 96877 and 96888 is 11.

Also check out the Least Common Multiple of 96877 and 96888