What is the Greatest Common Factor of 20032 and 20048?

Greatest common factor (GCF) of 20032 and 20048 is 16.

GCF(20032,20048) = 16

We will now calculate the prime factors of 20032 and 20048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20032 and 20048.

How to find the GCF of 20032 and 20048?

We will first find the prime factorization of 20032 and 20048. After we will calculate the factors of 20032 and 20048 and find the biggest common factor number .

Step-1: Prime Factorization of 20032

Prime factors of 20032 are 2, 313. Prime factorization of 20032 in exponential form is:

20032 = 2⁶ × 313¹

Step-2: Prime Factorization of 20048

Prime factors of 20048 are 2, 7, 179. Prime factorization of 20048 in exponential form is:

20048 = 2⁴ × 7¹ × 179¹

Step-3: Factors of 20032

List of positive integer factors of 20032 that divides 20032 without a remainder.

1, 2, 4, 8, 16, 32, 64, 313, 626, 1252, 2504, 5008, 10016

Step-4: Factors of 20048

List of positive integer factors of 20048 that divides 20032 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 179, 358, 716, 1253, 1432, 2506, 2864, 5012, 10024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20032 and 20048. The biggest common factor number is the GCF number.
So the greatest common factor 20032 and 20048 is 16.

Also check out the Least Common Multiple of 20032 and 20048