What is the Greatest Common Factor of 66896 and 66900?

Greatest common factor (GCF) of 66896 and 66900 is 4.

GCF(66896,66900) = 4

We will now calculate the prime factors of 66896 and 66900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66896 and 66900.

How to find the GCF of 66896 and 66900?

We will first find the prime factorization of 66896 and 66900. After we will calculate the factors of 66896 and 66900 and find the biggest common factor number .

Step-1: Prime Factorization of 66896

Prime factors of 66896 are 2, 37, 113. Prime factorization of 66896 in exponential form is:

66896 = 2⁴ × 37¹ × 113¹

Step-2: Prime Factorization of 66900

Prime factors of 66900 are 2, 3, 5, 223. Prime factorization of 66900 in exponential form is:

66900 = 2² × 3¹ × 5² × 223¹

Step-3: Factors of 66896

List of positive integer factors of 66896 that divides 66896 without a remainder.

1, 2, 4, 8, 16, 37, 74, 113, 148, 226, 296, 452, 592, 904, 1808, 4181, 8362, 16724, 33448

Step-4: Factors of 66900

List of positive integer factors of 66900 that divides 66896 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 223, 300, 446, 669, 892, 1115, 1338, 2230, 2676, 3345, 4460, 5575, 6690, 11150, 13380, 16725, 22300, 33450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66896 and 66900. The biggest common factor number is the GCF number.
So the greatest common factor 66896 and 66900 is 4.

Also check out the Least Common Multiple of 66896 and 66900