What is the Greatest Common Factor of 86896 and 86900?

Greatest common factor (GCF) of 86896 and 86900 is 4.

GCF(86896,86900) = 4

We will now calculate the prime factors of 86896 and 86900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86896 and 86900.

How to find the GCF of 86896 and 86900?

We will first find the prime factorization of 86896 and 86900. After we will calculate the factors of 86896 and 86900 and find the biggest common factor number .

Step-1: Prime Factorization of 86896

Prime factors of 86896 are 2, 5431. Prime factorization of 86896 in exponential form is:

86896 = 2⁴ × 5431¹

Step-2: Prime Factorization of 86900

Prime factors of 86900 are 2, 5, 11, 79. Prime factorization of 86900 in exponential form is:

86900 = 2² × 5² × 11¹ × 79¹

Step-3: Factors of 86896

List of positive integer factors of 86896 that divides 86896 without a remainder.

1, 2, 4, 8, 16, 5431, 10862, 21724, 43448

Step-4: Factors of 86900

List of positive integer factors of 86900 that divides 86896 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 79, 100, 110, 158, 220, 275, 316, 395, 550, 790, 869, 1100, 1580, 1738, 1975, 3476, 3950, 4345, 7900, 8690, 17380, 21725, 43450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86896 and 86900. The biggest common factor number is the GCF number.
So the greatest common factor 86896 and 86900 is 4.

Also check out the Least Common Multiple of 86896 and 86900