What is the Greatest Common Factor of 20052 and 20064?

Greatest common factor (GCF) of 20052 and 20064 is 12.

GCF(20052,20064) = 12

We will now calculate the prime factors of 20052 and 20064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20052 and 20064.

How to find the GCF of 20052 and 20064?

We will first find the prime factorization of 20052 and 20064. After we will calculate the factors of 20052 and 20064 and find the biggest common factor number .

Step-1: Prime Factorization of 20052

Prime factors of 20052 are 2, 3, 557. Prime factorization of 20052 in exponential form is:

20052 = 2² × 3² × 557¹

Step-2: 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-3: Factors of 20052

List of positive integer factors of 20052 that divides 20052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 557, 1114, 1671, 2228, 3342, 5013, 6684, 10026

Step-4: Factors of 20064

List of positive integer factors of 20064 that divides 20052 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20052 and 20064. The biggest common factor number is the GCF number.
So the greatest common factor 20052 and 20064 is 12.

Also check out the Least Common Multiple of 20052 and 20064