What is the Greatest Common Factor of 20368 and 20372?

Greatest common factor (GCF) of 20368 and 20372 is 4.

GCF(20368,20372) = 4

We will now calculate the prime factors of 20368 and 20372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20368 and 20372.

How to find the GCF of 20368 and 20372?

We will first find the prime factorization of 20368 and 20372. After we will calculate the factors of 20368 and 20372 and find the biggest common factor number .

Step-1: Prime Factorization of 20368

Prime factors of 20368 are 2, 19, 67. Prime factorization of 20368 in exponential form is:

20368 = 2⁴ × 19¹ × 67¹

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 20368

List of positive integer factors of 20368 that divides 20368 without a remainder.

1, 2, 4, 8, 16, 19, 38, 67, 76, 134, 152, 268, 304, 536, 1072, 1273, 2546, 5092, 10184

Step-4: Factors of 20372

List of positive integer factors of 20372 that divides 20368 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 20368 and 20372. The biggest common factor number is the GCF number.
So the greatest common factor 20368 and 20372 is 4.

Also check out the Least Common Multiple of 20368 and 20372