What is the Greatest Common Factor of 66648 and 66663?
Greatest common factor (GCF) of 66648 and 66663 is 3.
GCF(66648,66663) = 3
We will now calculate the prime factors of 66648 and 66663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66648 and 66663.
How to find the GCF of 66648 and 66663?
We will first find the prime factorization of 66648 and 66663. After we will calculate the factors of 66648 and 66663 and find the biggest common factor number .
Step-1: Prime Factorization of 66648
Prime factors of 66648 are 2, 3, 2777. Prime factorization of 66648 in exponential form is:
66648 = 23 × 31 × 27771
Step-2: Prime Factorization of 66663
Prime factors of 66663 are 3, 823. Prime factorization of 66663 in exponential form is:
66663 = 34 × 8231
Step-3: Factors of 66648
List of positive integer factors of 66648 that divides 66648 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 2777, 5554, 8331, 11108, 16662, 22216, 33324
Step-4: Factors of 66663
List of positive integer factors of 66663 that divides 66648 without a remainder.
1, 3, 9, 27, 81, 823, 2469, 7407, 22221
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66648 and 66663. The biggest common factor number is the GCF number.
So the greatest common factor 66648 and 66663 is 3.
Also check out the Least Common Multiple of 66648 and 66663
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