What is the Greatest Common Factor of 65431 and 65440?

Greatest common factor (GCF) of 65431 and 65440 is 1.

GCF(65431,65440) = 1

We will now calculate the prime factors of 65431 and 65440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65431 and 65440.

How to find the GCF of 65431 and 65440?

We will first find the prime factorization of 65431 and 65440. After we will calculate the factors of 65431 and 65440 and find the biggest common factor number .

Step-1: Prime Factorization of 65431

Prime factors of 65431 are 59, 1109. Prime factorization of 65431 in exponential form is:

65431 = 59¹ × 1109¹

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 65431

List of positive integer factors of 65431 that divides 65431 without a remainder.

1, 59, 1109

Step-4: Factors of 65440

List of positive integer factors of 65440 that divides 65431 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 65431 and 65440. The biggest common factor number is the GCF number.
So the greatest common factor 65431 and 65440 is 1.

Also check out the Least Common Multiple of 65431 and 65440