What is the Greatest Common Factor of 20034 and 20048?

Greatest common factor (GCF) of 20034 and 20048 is 14.

GCF(20034,20048) = 14

We will now calculate the prime factors of 20034 and 20048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20034 and 20048.

How to find the GCF of 20034 and 20048?

We will first find the prime factorization of 20034 and 20048. After we will calculate the factors of 20034 and 20048 and find the biggest common factor number .

Step-1: Prime Factorization of 20034

Prime factors of 20034 are 2, 3, 7, 53. Prime factorization of 20034 in exponential form is:

20034 = 2¹ × 3³ × 7¹ × 53¹

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 20034

List of positive integer factors of 20034 that divides 20034 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 53, 54, 63, 106, 126, 159, 189, 318, 371, 378, 477, 742, 954, 1113, 1431, 2226, 2862, 3339, 6678, 10017

Step-4: Factors of 20048

List of positive integer factors of 20048 that divides 20034 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 20034 and 20048. The biggest common factor number is the GCF number.
So the greatest common factor 20034 and 20048 is 14.

Also check out the Least Common Multiple of 20034 and 20048