What is the Greatest Common Factor of 90064 and 90077?

Greatest common factor (GCF) of 90064 and 90077 is 13.

GCF(90064,90077) = 13

We will now calculate the prime factors of 90064 and 90077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90064 and 90077.

How to find the GCF of 90064 and 90077?

We will first find the prime factorization of 90064 and 90077. After we will calculate the factors of 90064 and 90077 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 90077

Prime factors of 90077 are 13, 41. Prime factorization of 90077 in exponential form is:

90077 = 13³ × 41¹

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 90077

List of positive integer factors of 90077 that divides 90064 without a remainder.

1, 13, 41, 169, 533, 2197, 6929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90064 and 90077. The biggest common factor number is the GCF number.
So the greatest common factor 90064 and 90077 is 13.

Also check out the Least Common Multiple of 90064 and 90077