What is the Greatest Common Factor of 20424 and 20440?

Greatest common factor (GCF) of 20424 and 20440 is 8.

GCF(20424,20440) = 8

We will now calculate the prime factors of 20424 and 20440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20424 and 20440.

How to find the GCF of 20424 and 20440?

We will first find the prime factorization of 20424 and 20440. After we will calculate the factors of 20424 and 20440 and find the biggest common factor number .

Step-1: Prime Factorization of 20424

Prime factors of 20424 are 2, 3, 23, 37. Prime factorization of 20424 in exponential form is:

20424 = 2³ × 3¹ × 23¹ × 37¹

Step-2: Prime Factorization of 20440

Prime factors of 20440 are 2, 5, 7, 73. Prime factorization of 20440 in exponential form is:

20440 = 2³ × 5¹ × 7¹ × 73¹

Step-3: Factors of 20424

List of positive integer factors of 20424 that divides 20424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 37, 46, 69, 74, 92, 111, 138, 148, 184, 222, 276, 296, 444, 552, 851, 888, 1702, 2553, 3404, 5106, 6808, 10212

Step-4: Factors of 20440

List of positive integer factors of 20440 that divides 20424 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 73, 140, 146, 280, 292, 365, 511, 584, 730, 1022, 1460, 2044, 2555, 2920, 4088, 5110, 10220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20424 and 20440. The biggest common factor number is the GCF number.
So the greatest common factor 20424 and 20440 is 8.

Also check out the Least Common Multiple of 20424 and 20440