What is the Greatest Common Factor of 20360 and 20372?

Greatest common factor (GCF) of 20360 and 20372 is 4.

GCF(20360,20372) = 4

We will now calculate the prime factors of 20360 and 20372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20360 and 20372.

How to find the GCF of 20360 and 20372?

We will first find the prime factorization of 20360 and 20372. After we will calculate the factors of 20360 and 20372 and find the biggest common factor number .

Step-1: Prime Factorization of 20360

Prime factors of 20360 are 2, 5, 509. Prime factorization of 20360 in exponential form is:

20360 = 2³ × 5¹ × 509¹

Step-2: Prime Factorization of 20372

Prime factors of 20372 are 2, 11, 463. Prime factorization of 20372 in exponential form is:

20372 = 2² × 11¹ × 463¹

Step-3: Factors of 20360

List of positive integer factors of 20360 that divides 20360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 509, 1018, 2036, 2545, 4072, 5090, 10180

Step-4: Factors of 20372

List of positive integer factors of 20372 that divides 20360 without a remainder.

1, 2, 4, 11, 22, 44, 463, 926, 1852, 5093, 10186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20360 and 20372. The biggest common factor number is the GCF number.
So the greatest common factor 20360 and 20372 is 4.

Also check out the Least Common Multiple of 20360 and 20372