What is the Greatest Common Factor of 65408 and 65424?

Greatest common factor (GCF) of 65408 and 65424 is 16.

GCF(65408,65424) = 16

We will now calculate the prime factors of 65408 and 65424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65408 and 65424.

How to find the GCF of 65408 and 65424?

We will first find the prime factorization of 65408 and 65424. After we will calculate the factors of 65408 and 65424 and find the biggest common factor number .

Step-1: Prime Factorization of 65408

Prime factors of 65408 are 2, 7, 73. Prime factorization of 65408 in exponential form is:

65408 = 2⁷ × 7¹ × 73¹

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 65408

List of positive integer factors of 65408 that divides 65408 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 73, 112, 128, 146, 224, 292, 448, 511, 584, 896, 1022, 1168, 2044, 2336, 4088, 4672, 8176, 9344, 16352, 32704

Step-4: Factors of 65424

List of positive integer factors of 65424 that divides 65408 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 65408 and 65424. The biggest common factor number is the GCF number.
So the greatest common factor 65408 and 65424 is 16.

Also check out the Least Common Multiple of 65408 and 65424