What is the Greatest Common Factor of 65080 and 65090?

Greatest common factor (GCF) of 65080 and 65090 is 10.

GCF(65080,65090) = 10

We will now calculate the prime factors of 65080 and 65090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65080 and 65090.

How to find the GCF of 65080 and 65090?

We will first find the prime factorization of 65080 and 65090. After we will calculate the factors of 65080 and 65090 and find the biggest common factor number .

Step-1: Prime Factorization of 65080

Prime factors of 65080 are 2, 5, 1627. Prime factorization of 65080 in exponential form is:

65080 = 2³ × 5¹ × 1627¹

Step-2: Prime Factorization of 65090

Prime factors of 65090 are 2, 5, 23, 283. Prime factorization of 65090 in exponential form is:

65090 = 2¹ × 5¹ × 23¹ × 283¹

Step-3: Factors of 65080

List of positive integer factors of 65080 that divides 65080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1627, 3254, 6508, 8135, 13016, 16270, 32540

Step-4: Factors of 65090

List of positive integer factors of 65090 that divides 65080 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 283, 566, 1415, 2830, 6509, 13018, 32545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65080 and 65090. The biggest common factor number is the GCF number.
So the greatest common factor 65080 and 65090 is 10.

Also check out the Least Common Multiple of 65080 and 65090