What is the Greatest Common Factor of 66100 and 66112?

Greatest common factor (GCF) of 66100 and 66112 is 4.

GCF(66100,66112) = 4

We will now calculate the prime factors of 66100 and 66112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66100 and 66112.

How to find the GCF of 66100 and 66112?

We will first find the prime factorization of 66100 and 66112. After we will calculate the factors of 66100 and 66112 and find the biggest common factor number .

Step-1: Prime Factorization of 66100

Prime factors of 66100 are 2, 5, 661. Prime factorization of 66100 in exponential form is:

66100 = 2² × 5² × 661¹

Step-2: Prime Factorization of 66112

Prime factors of 66112 are 2, 1033. Prime factorization of 66112 in exponential form is:

66112 = 2⁶ × 1033¹

Step-3: Factors of 66100

List of positive integer factors of 66100 that divides 66100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 661, 1322, 2644, 3305, 6610, 13220, 16525, 33050

Step-4: Factors of 66112

List of positive integer factors of 66112 that divides 66100 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1033, 2066, 4132, 8264, 16528, 33056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66100 and 66112. The biggest common factor number is the GCF number.
So the greatest common factor 66100 and 66112 is 4.

Also check out the Least Common Multiple of 66100 and 66112