What is the Greatest Common Factor of 65440 and 65446?

Greatest common factor (GCF) of 65440 and 65446 is 2.

GCF(65440,65446) = 2

We will now calculate the prime factors of 65440 and 65446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65440 and 65446.

How to find the GCF of 65440 and 65446?

We will first find the prime factorization of 65440 and 65446. After we will calculate the factors of 65440 and 65446 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 65446

Prime factors of 65446 are 2, 43, 761. Prime factorization of 65446 in exponential form is:

65446 = 2¹ × 43¹ × 761¹

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 65446

List of positive integer factors of 65446 that divides 65440 without a remainder.

1, 2, 43, 86, 761, 1522, 32723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65440 and 65446. The biggest common factor number is the GCF number.
So the greatest common factor 65440 and 65446 is 2.

Also check out the Least Common Multiple of 65440 and 65446