What is the Greatest Common Factor of 18960 and 18964?

Greatest common factor (GCF) of 18960 and 18964 is 4.

GCF(18960,18964) = 4

We will now calculate the prime factors of 18960 and 18964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18960 and 18964.

How to find the GCF of 18960 and 18964?

We will first find the prime factorization of 18960 and 18964. After we will calculate the factors of 18960 and 18964 and find the biggest common factor number .

Step-1: Prime Factorization of 18960

Prime factors of 18960 are 2, 3, 5, 79. Prime factorization of 18960 in exponential form is:

18960 = 2⁴ × 3¹ × 5¹ × 79¹

Step-2: Prime Factorization of 18964

Prime factors of 18964 are 2, 11, 431. Prime factorization of 18964 in exponential form is:

18964 = 2² × 11¹ × 431¹

Step-3: Factors of 18960

List of positive integer factors of 18960 that divides 18960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 79, 80, 120, 158, 237, 240, 316, 395, 474, 632, 790, 948, 1185, 1264, 1580, 1896, 2370, 3160, 3792, 4740, 6320, 9480

Step-4: Factors of 18964

List of positive integer factors of 18964 that divides 18960 without a remainder.

1, 2, 4, 11, 22, 44, 431, 862, 1724, 4741, 9482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18960 and 18964. The biggest common factor number is the GCF number.
So the greatest common factor 18960 and 18964 is 4.

Also check out the Least Common Multiple of 18960 and 18964