What is the Greatest Common Factor of 20116 and 20132?

Greatest common factor (GCF) of 20116 and 20132 is 4.

GCF(20116,20132) = 4

We will now calculate the prime factors of 20116 and 20132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20116 and 20132.

How to find the GCF of 20116 and 20132?

We will first find the prime factorization of 20116 and 20132. After we will calculate the factors of 20116 and 20132 and find the biggest common factor number .

Step-1: Prime Factorization of 20116

Prime factors of 20116 are 2, 47, 107. Prime factorization of 20116 in exponential form is:

20116 = 2² × 47¹ × 107¹

Step-2: 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-3: Factors of 20116

List of positive integer factors of 20116 that divides 20116 without a remainder.

1, 2, 4, 47, 94, 107, 188, 214, 428, 5029, 10058

Step-4: Factors of 20132

List of positive integer factors of 20132 that divides 20116 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20116 and 20132. The biggest common factor number is the GCF number.
So the greatest common factor 20116 and 20132 is 4.

Also check out the Least Common Multiple of 20116 and 20132