What is the Greatest Common Factor of 66704 and 66712?
Greatest common factor (GCF) of 66704 and 66712 is 8.
GCF(66704,66712) = 8
We will now calculate the prime factors of 66704 and 66712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66704 and 66712.
How to find the GCF of 66704 and 66712?
We will first find the prime factorization of 66704 and 66712. After we will calculate the factors of 66704 and 66712 and find the biggest common factor number .
Step-1: Prime Factorization of 66704
Prime factors of 66704 are 2, 11, 379. Prime factorization of 66704 in exponential form is:
66704 = 24 × 111 × 3791
Step-2: Prime Factorization of 66712
Prime factors of 66712 are 2, 31, 269. Prime factorization of 66712 in exponential form is:
66712 = 23 × 311 × 2691
Step-3: Factors of 66704
List of positive integer factors of 66704 that divides 66704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 379, 758, 1516, 3032, 4169, 6064, 8338, 16676, 33352
Step-4: Factors of 66712
List of positive integer factors of 66712 that divides 66704 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248, 269, 538, 1076, 2152, 8339, 16678, 33356
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66704 and 66712. The biggest common factor number is the GCF number.
So the greatest common factor 66704 and 66712 is 8.
Also check out the Least Common Multiple of 66704 and 66712
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Related Greatest Common Factors of 66712
- GCF of 66712 and 66716
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- GCF of 66712 and 66722
- GCF of 66712 and 66723
- GCF of 66712 and 66724
- GCF of 66712 and 66725
- GCF of 66712 and 66726
- GCF of 66712 and 66727
- GCF of 66712 and 66728
- GCF of 66712 and 66729
- GCF of 66712 and 66730
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