What is the Greatest Common Factor of 65409 and 65424?

Greatest common factor (GCF) of 65409 and 65424 is 3.

GCF(65409,65424) = 3

We will now calculate the prime factors of 65409 and 65424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65409 and 65424.

How to find the GCF of 65409 and 65424?

We will first find the prime factorization of 65409 and 65424. After we will calculate the factors of 65409 and 65424 and find the biggest common factor number .

Step-1: Prime Factorization of 65409

Prime factors of 65409 are 3, 21803. Prime factorization of 65409 in exponential form is:

65409 = 3¹ × 21803¹

Step-2: Prime Factorization of 65424

Prime factors of 65424 are 2, 3, 29, 47. Prime factorization of 65424 in exponential form is:

65424 = 2⁴ × 3¹ × 29¹ × 47¹

Step-3: Factors of 65409

List of positive integer factors of 65409 that divides 65409 without a remainder.

1, 3, 21803

Step-4: Factors of 65424

List of positive integer factors of 65424 that divides 65409 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 47, 48, 58, 87, 94, 116, 141, 174, 188, 232, 282, 348, 376, 464, 564, 696, 752, 1128, 1363, 1392, 2256, 2726, 4089, 5452, 8178, 10904, 16356, 21808, 32712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65409 and 65424. The biggest common factor number is the GCF number.
So the greatest common factor 65409 and 65424 is 3.

Also check out the Least Common Multiple of 65409 and 65424