What is the Greatest Common Factor of 66690 and 66704?
Greatest common factor (GCF) of 66690 and 66704 is 2.
GCF(66690,66704) = 2
We will now calculate the prime factors of 66690 and 66704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66690 and 66704.
How to find the GCF of 66690 and 66704?
We will first find the prime factorization of 66690 and 66704. After we will calculate the factors of 66690 and 66704 and find the biggest common factor number .
Step-1: Prime Factorization of 66690
Prime factors of 66690 are 2, 3, 5, 13, 19. Prime factorization of 66690 in exponential form is:
66690 = 21 × 33 × 51 × 131 × 191
Step-2: 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-3: Factors of 66690
List of positive integer factors of 66690 that divides 66690 without a remainder.
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 19, 26, 27, 30, 38, 39, 45, 54, 57, 65, 78, 90, 95, 114, 117, 130, 135, 171, 190, 195, 234, 247, 270, 285, 342, 351, 390, 494, 513, 570, 585, 702, 741, 855, 1026, 1170, 1235, 1482, 1710, 1755, 2223, 2470, 2565, 3510, 3705, 4446, 5130, 6669, 7410, 11115, 13338, 22230, 33345
Step-4: Factors of 66704
List of positive integer factors of 66704 that divides 66690 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 379, 758, 1516, 3032, 4169, 6064, 8338, 16676, 33352
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66690 and 66704. The biggest common factor number is the GCF number.
So the greatest common factor 66690 and 66704 is 2.
Also check out the Least Common Multiple of 66690 and 66704
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