What is the Greatest Common Factor of 66130 and 66150?
Greatest common factor (GCF) of 66130 and 66150 is 10.
GCF(66130,66150) = 10
We will now calculate the prime factors of 66130 and 66150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66130 and 66150.
How to find the GCF of 66130 and 66150?
We will first find the prime factorization of 66130 and 66150. After we will calculate the factors of 66130 and 66150 and find the biggest common factor number .
Step-1: Prime Factorization of 66130
Prime factors of 66130 are 2, 5, 17, 389. Prime factorization of 66130 in exponential form is:
66130 = 21 × 51 × 171 × 3891
Step-2: Prime Factorization of 66150
Prime factors of 66150 are 2, 3, 5, 7. Prime factorization of 66150 in exponential form is:
66150 = 21 × 33 × 52 × 72
Step-3: Factors of 66130
List of positive integer factors of 66130 that divides 66130 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170, 389, 778, 1945, 3890, 6613, 13226, 33065
Step-4: Factors of 66150
List of positive integer factors of 66150 that divides 66130 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 49, 50, 54, 63, 70, 75, 90, 98, 105, 126, 135, 147, 150, 175, 189, 210, 225, 245, 270, 294, 315, 350, 378, 441, 450, 490, 525, 630, 675, 735, 882, 945, 1050, 1225, 1323, 1350, 1470, 1575, 1890, 2205, 2450, 2646, 3150, 3675, 4410, 4725, 6615, 7350, 9450, 11025, 13230, 22050, 33075
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66130 and 66150. The biggest common factor number is the GCF number.
So the greatest common factor 66130 and 66150 is 10.
Also check out the Least Common Multiple of 66130 and 66150
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