What is the Greatest Common Factor of 20132 and 20142?

Greatest common factor (GCF) of 20132 and 20142 is 2.

GCF(20132,20142) = 2

We will now calculate the prime factors of 20132 and 20142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20132 and 20142.

How to find the GCF of 20132 and 20142?

We will first find the prime factorization of 20132 and 20142. After we will calculate the factors of 20132 and 20142 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 20142

Prime factors of 20142 are 2, 3, 373. Prime factorization of 20142 in exponential form is:

20142 = 2¹ × 3³ × 373¹

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 20142

List of positive integer factors of 20142 that divides 20132 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 373, 746, 1119, 2238, 3357, 6714, 10071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20132 and 20142. The biggest common factor number is the GCF number.
So the greatest common factor 20132 and 20142 is 2.

Also check out the Least Common Multiple of 20132 and 20142