What is the Greatest Common Factor of 90064 and 90072?

Greatest common factor (GCF) of 90064 and 90072 is 8.

GCF(90064,90072) = 8

We will now calculate the prime factors of 90064 and 90072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90064 and 90072.

How to find the GCF of 90064 and 90072?

We will first find the prime factorization of 90064 and 90072. After we will calculate the factors of 90064 and 90072 and find the biggest common factor number .

Step-1: Prime Factorization of 90064

Prime factors of 90064 are 2, 13, 433. Prime factorization of 90064 in exponential form is:

90064 = 2⁴ × 13¹ × 433¹

Step-2: Prime Factorization of 90072

Prime factors of 90072 are 2, 3, 139. Prime factorization of 90072 in exponential form is:

90072 = 2³ × 3⁴ × 139¹

Step-3: Factors of 90064

List of positive integer factors of 90064 that divides 90064 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 433, 866, 1732, 3464, 5629, 6928, 11258, 22516, 45032

Step-4: Factors of 90072

List of positive integer factors of 90072 that divides 90064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 139, 162, 216, 278, 324, 417, 556, 648, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 11259, 15012, 22518, 30024, 45036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90064 and 90072. The biggest common factor number is the GCF number.
So the greatest common factor 90064 and 90072 is 8.

Also check out the Least Common Multiple of 90064 and 90072