What is the Greatest Common Factor of 65090 and 65104?

Greatest common factor (GCF) of 65090 and 65104 is 2.

GCF(65090,65104) = 2

We will now calculate the prime factors of 65090 and 65104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65090 and 65104.

How to find the GCF of 65090 and 65104?

We will first find the prime factorization of 65090 and 65104. After we will calculate the factors of 65090 and 65104 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65104

Prime factors of 65104 are 2, 13, 313. Prime factorization of 65104 in exponential form is:

65104 = 2⁴ × 13¹ × 313¹

Step-3: Factors of 65090

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

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

Step-4: Factors of 65104

List of positive integer factors of 65104 that divides 65090 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 313, 626, 1252, 2504, 4069, 5008, 8138, 16276, 32552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65090 and 65104. The biggest common factor number is the GCF number.
So the greatest common factor 65090 and 65104 is 2.

Also check out the Least Common Multiple of 65090 and 65104