What is the Greatest Common Factor of 20064 and 20077?

Greatest common factor (GCF) of 20064 and 20077 is 1.

GCF(20064,20077) = 1

We will now calculate the prime factors of 20064 and 20077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20064 and 20077.

How to find the GCF of 20064 and 20077?

We will first find the prime factorization of 20064 and 20077. After we will calculate the factors of 20064 and 20077 and find the biggest common factor number .

Step-1: Prime Factorization of 20064

Prime factors of 20064 are 2, 3, 11, 19. Prime factorization of 20064 in exponential form is:

20064 = 2⁵ × 3¹ × 11¹ × 19¹

Step-2: Prime Factorization of 20077

Prime factors of 20077 are 17, 1181. Prime factorization of 20077 in exponential form is:

20077 = 17¹ × 1181¹

Step-3: Factors of 20064

List of positive integer factors of 20064 that divides 20064 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 32, 33, 38, 44, 48, 57, 66, 76, 88, 96, 114, 132, 152, 176, 209, 228, 264, 304, 352, 418, 456, 528, 608, 627, 836, 912, 1056, 1254, 1672, 1824, 2508, 3344, 5016, 6688, 10032

Step-4: Factors of 20077

List of positive integer factors of 20077 that divides 20064 without a remainder.

1, 17, 1181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20064 and 20077. The biggest common factor number is the GCF number.
So the greatest common factor 20064 and 20077 is 1.

Also check out the Least Common Multiple of 20064 and 20077