What is the Greatest Common Factor of 65435 and 65440?

Greatest common factor (GCF) of 65435 and 65440 is 5.

GCF(65435,65440) = 5

We will now calculate the prime factors of 65435 and 65440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65435 and 65440.

How to find the GCF of 65435 and 65440?

We will first find the prime factorization of 65435 and 65440. After we will calculate the factors of 65435 and 65440 and find the biggest common factor number .

Step-1: Prime Factorization of 65435

Prime factors of 65435 are 5, 23, 569. Prime factorization of 65435 in exponential form is:

65435 = 5¹ × 23¹ × 569¹

Step-2: 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-3: Factors of 65435

List of positive integer factors of 65435 that divides 65435 without a remainder.

1, 5, 23, 115, 569, 2845, 13087

Step-4: Factors of 65440

List of positive integer factors of 65440 that divides 65435 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65435 and 65440. The biggest common factor number is the GCF number.
So the greatest common factor 65435 and 65440 is 5.

Also check out the Least Common Multiple of 65435 and 65440