What is the Greatest Common Factor of 88050 and 88064?

Greatest common factor (GCF) of 88050 and 88064 is 2.

GCF(88050,88064) = 2

We will now calculate the prime factors of 88050 and 88064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88050 and 88064.

How to find the GCF of 88050 and 88064?

We will first find the prime factorization of 88050 and 88064. After we will calculate the factors of 88050 and 88064 and find the biggest common factor number .

Step-1: Prime Factorization of 88050

Prime factors of 88050 are 2, 3, 5, 587. Prime factorization of 88050 in exponential form is:

88050 = 2¹ × 3¹ × 5² × 587¹

Step-2: Prime Factorization of 88064

Prime factors of 88064 are 2, 43. Prime factorization of 88064 in exponential form is:

88064 = 2¹¹ × 43¹

Step-3: Factors of 88050

List of positive integer factors of 88050 that divides 88050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 587, 1174, 1761, 2935, 3522, 5870, 8805, 14675, 17610, 29350, 44025

Step-4: Factors of 88064

List of positive integer factors of 88064 that divides 88050 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 512, 688, 1024, 1376, 2048, 2752, 5504, 11008, 22016, 44032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88050 and 88064. The biggest common factor number is the GCF number.
So the greatest common factor 88050 and 88064 is 2.

Also check out the Least Common Multiple of 88050 and 88064