What is the Greatest Common Factor of 65440 and 65460?

Greatest common factor (GCF) of 65440 and 65460 is 20.

GCF(65440,65460) = 20

We will now calculate the prime factors of 65440 and 65460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65440 and 65460.

How to find the GCF of 65440 and 65460?

We will first find the prime factorization of 65440 and 65460. After we will calculate the factors of 65440 and 65460 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 65460

Prime factors of 65460 are 2, 3, 5, 1091. Prime factorization of 65460 in exponential form is:

65460 = 2² × 3¹ × 5¹ × 1091¹

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 65460

List of positive integer factors of 65460 that divides 65440 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1091, 2182, 3273, 4364, 5455, 6546, 10910, 13092, 16365, 21820, 32730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65440 and 65460. The biggest common factor number is the GCF number.
So the greatest common factor 65440 and 65460 is 20.

Also check out the Least Common Multiple of 65440 and 65460