What is the Greatest Common Factor of 65470 and 65488?

Greatest common factor (GCF) of 65470 and 65488 is 2.

GCF(65470,65488) = 2

We will now calculate the prime factors of 65470 and 65488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65470 and 65488.

How to find the GCF of 65470 and 65488?

We will first find the prime factorization of 65470 and 65488. After we will calculate the factors of 65470 and 65488 and find the biggest common factor number .

Step-1: Prime Factorization of 65470

Prime factors of 65470 are 2, 5, 6547. Prime factorization of 65470 in exponential form is:

65470 = 2¹ × 5¹ × 6547¹

Step-2: Prime Factorization of 65488

Prime factors of 65488 are 2, 4093. Prime factorization of 65488 in exponential form is:

65488 = 2⁴ × 4093¹

Step-3: Factors of 65470

List of positive integer factors of 65470 that divides 65470 without a remainder.

1, 2, 5, 10, 6547, 13094, 32735

Step-4: Factors of 65488

List of positive integer factors of 65488 that divides 65470 without a remainder.

1, 2, 4, 8, 16, 4093, 8186, 16372, 32744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65470 and 65488. The biggest common factor number is the GCF number.
So the greatest common factor 65470 and 65488 is 2.

Also check out the Least Common Multiple of 65470 and 65488