What is the Greatest Common Factor of 8050 and 8064?

Greatest common factor (GCF) of 8050 and 8064 is 14.

GCF(8050,8064) = 14

We will now calculate the prime factors of 8050 and 8064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8050 and 8064.

How to find the GCF of 8050 and 8064?

We will first find the prime factorization of 8050 and 8064. After we will calculate the factors of 8050 and 8064 and find the biggest common factor number .

Step-1: Prime Factorization of 8050

Prime factors of 8050 are 2, 5, 7, 23. Prime factorization of 8050 in exponential form is:

8050 = 2¹ × 5² × 7¹ × 23¹

Step-2: Prime Factorization of 8064

Prime factors of 8064 are 2, 3, 7. Prime factorization of 8064 in exponential form is:

8064 = 2⁷ × 3² × 7¹

Step-3: Factors of 8050

List of positive integer factors of 8050 that divides 8050 without a remainder.

1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025

Step-4: Factors of 8064

List of positive integer factors of 8064 that divides 8050 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8050 and 8064. The biggest common factor number is the GCF number.
So the greatest common factor 8050 and 8064 is 14.

Also check out the Least Common Multiple of 8050 and 8064