What is the Greatest Common Factor of 20372 and 20383?

Greatest common factor (GCF) of 20372 and 20383 is 11.

GCF(20372,20383) = 11

We will now calculate the prime factors of 20372 and 20383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20372 and 20383.

How to find the GCF of 20372 and 20383?

We will first find the prime factorization of 20372 and 20383. After we will calculate the factors of 20372 and 20383 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20383

Prime factors of 20383 are 11, 17, 109. Prime factorization of 20383 in exponential form is:

20383 = 11¹ × 17¹ × 109¹

Step-3: Factors of 20372

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

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

Step-4: Factors of 20383

List of positive integer factors of 20383 that divides 20372 without a remainder.

1, 11, 17, 109, 187, 1199, 1853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20372 and 20383. The biggest common factor number is the GCF number.
So the greatest common factor 20372 and 20383 is 11.

Also check out the Least Common Multiple of 20372 and 20383