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What is the Greatest Common Factor of 66684 and 66699?

Greatest common factor (GCF) of 66684 and 66699 is 3.

GCF(66684,66699) = 3

We will now calculate the prime factors of 66684 and 66699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66684 and 66699.

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How to find the GCF of 66684 and 66699?

We will first find the prime factorization of 66684 and 66699. After we will calculate the factors of 66684 and 66699 and find the biggest common factor number .

Step-1: Prime Factorization of 66684

Prime factors of 66684 are 2, 3, 5557. Prime factorization of 66684 in exponential form is:

66684 = 22 × 31 × 55571

Step-2: Prime Factorization of 66699

Prime factors of 66699 are 3, 7411. Prime factorization of 66699 in exponential form is:

66699 = 32 × 74111

Step-3: Factors of 66684

List of positive integer factors of 66684 that divides 66684 without a remainder.

1, 2, 3, 4, 6, 12, 5557, 11114, 16671, 22228, 33342

Step-4: Factors of 66699

List of positive integer factors of 66699 that divides 66684 without a remainder.

1, 3, 9, 7411, 22233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66684 and 66699. The biggest common factor number is the GCF number.
So the greatest common factor 66684 and 66699 is 3.

Also check out the Least Common Multiple of 66684 and 66699