What is the Greatest Common Factor of 65440 and 65444?

Greatest common factor (GCF) of 65440 and 65444 is 4.

GCF(65440,65444) = 4

We will now calculate the prime factors of 65440 and 65444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65440 and 65444.

How to find the GCF of 65440 and 65444?

We will first find the prime factorization of 65440 and 65444. After we will calculate the factors of 65440 and 65444 and find the biggest common factor number .

Step-1: Prime Factorization of 65440

Prime factors of 65440 are 2, 5, 409. Prime factorization of 65440 in exponential form is:

65440 = 2⁵ × 5¹ × 409¹

Step-2: Prime Factorization of 65444

Prime factors of 65444 are 2, 16361. Prime factorization of 65444 in exponential form is:

65444 = 2² × 16361¹

Step-3: Factors of 65440

List of positive integer factors of 65440 that divides 65440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 409, 818, 1636, 2045, 3272, 4090, 6544, 8180, 13088, 16360, 32720

Step-4: Factors of 65444

List of positive integer factors of 65444 that divides 65440 without a remainder.

1, 2, 4, 16361, 32722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65440 and 65444. The biggest common factor number is the GCF number.
So the greatest common factor 65440 and 65444 is 4.

Also check out the Least Common Multiple of 65440 and 65444