What is the Greatest Common Factor of 20440 and 20450?

Greatest common factor (GCF) of 20440 and 20450 is 10.

GCF(20440,20450) = 10

We will now calculate the prime factors of 20440 and 20450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20440 and 20450.

How to find the GCF of 20440 and 20450?

We will first find the prime factorization of 20440 and 20450. After we will calculate the factors of 20440 and 20450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20450

Prime factors of 20450 are 2, 5, 409. Prime factorization of 20450 in exponential form is:

20450 = 2¹ × 5² × 409¹

Step-3: Factors of 20440

List of positive integer factors of 20440 that divides 20440 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

Step-4: Factors of 20450

List of positive integer factors of 20450 that divides 20440 without a remainder.

1, 2, 5, 10, 25, 50, 409, 818, 2045, 4090, 10225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20440 and 20450. The biggest common factor number is the GCF number.
So the greatest common factor 20440 and 20450 is 10.

Also check out the Least Common Multiple of 20440 and 20450