What is the Greatest Common Factor of 65584 and 65604?

Greatest common factor (GCF) of 65584 and 65604 is 4.

GCF(65584,65604) = 4

We will now calculate the prime factors of 65584 and 65604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65584 and 65604.

How to find the GCF of 65584 and 65604?

We will first find the prime factorization of 65584 and 65604. After we will calculate the factors of 65584 and 65604 and find the biggest common factor number .

Step-1: Prime Factorization of 65584

Prime factors of 65584 are 2, 4099. Prime factorization of 65584 in exponential form is:

65584 = 2⁴ × 4099¹

Step-2: Prime Factorization of 65604

Prime factors of 65604 are 2, 3, 7, 11, 71. Prime factorization of 65604 in exponential form is:

65604 = 2² × 3¹ × 7¹ × 11¹ × 71¹

Step-3: Factors of 65584

List of positive integer factors of 65584 that divides 65584 without a remainder.

1, 2, 4, 8, 16, 4099, 8198, 16396, 32792

Step-4: Factors of 65604

List of positive integer factors of 65604 that divides 65584 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 71, 77, 84, 132, 142, 154, 213, 231, 284, 308, 426, 462, 497, 781, 852, 924, 994, 1491, 1562, 1988, 2343, 2982, 3124, 4686, 5467, 5964, 9372, 10934, 16401, 21868, 32802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65584 and 65604. The biggest common factor number is the GCF number.
So the greatest common factor 65584 and 65604 is 4.

Also check out the Least Common Multiple of 65584 and 65604