What is the Greatest Common Factor of 90049 and 90064?

Greatest common factor (GCF) of 90049 and 90064 is 1.

GCF(90049,90064) = 1

We will now calculate the prime factors of 90049 and 90064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90049 and 90064.

How to find the GCF of 90049 and 90064?

We will first find the prime factorization of 90049 and 90064. After we will calculate the factors of 90049 and 90064 and find the biggest common factor number .

Step-1: Prime Factorization of 90049

Prime factors of 90049 are 17, 5297. Prime factorization of 90049 in exponential form is:

90049 = 17¹ × 5297¹

Step-2: 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-3: Factors of 90049

List of positive integer factors of 90049 that divides 90049 without a remainder.

1, 17, 5297

Step-4: Factors of 90064

List of positive integer factors of 90064 that divides 90049 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90049 and 90064. The biggest common factor number is the GCF number.
So the greatest common factor 90049 and 90064 is 1.

Also check out the Least Common Multiple of 90049 and 90064