What is the Greatest Common Factor of 20132 and 20146?

Greatest common factor (GCF) of 20132 and 20146 is 14.

GCF(20132,20146) = 14

We will now calculate the prime factors of 20132 and 20146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20132 and 20146.

How to find the GCF of 20132 and 20146?

We will first find the prime factorization of 20132 and 20146. After we will calculate the factors of 20132 and 20146 and find the biggest common factor number .

Step-1: Prime Factorization of 20132

Prime factors of 20132 are 2, 7, 719. Prime factorization of 20132 in exponential form is:

20132 = 2² × 7¹ × 719¹

Step-2: Prime Factorization of 20146

Prime factors of 20146 are 2, 7, 1439. Prime factorization of 20146 in exponential form is:

20146 = 2¹ × 7¹ × 1439¹

Step-3: Factors of 20132

List of positive integer factors of 20132 that divides 20132 without a remainder.

1, 2, 4, 7, 14, 28, 719, 1438, 2876, 5033, 10066

Step-4: Factors of 20146

List of positive integer factors of 20146 that divides 20132 without a remainder.

1, 2, 7, 14, 1439, 2878, 10073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20132 and 20146. The biggest common factor number is the GCF number.
So the greatest common factor 20132 and 20146 is 14.

Also check out the Least Common Multiple of 20132 and 20146