What is the Greatest Common Factor of 65408 and 65422?

Greatest common factor (GCF) of 65408 and 65422 is 14.

GCF(65408,65422) = 14

We will now calculate the prime factors of 65408 and 65422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65408 and 65422.

How to find the GCF of 65408 and 65422?

We will first find the prime factorization of 65408 and 65422. After we will calculate the factors of 65408 and 65422 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 65422

Prime factors of 65422 are 2, 7, 4673. Prime factorization of 65422 in exponential form is:

65422 = 2¹ × 7¹ × 4673¹

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 65422

List of positive integer factors of 65422 that divides 65408 without a remainder.

1, 2, 7, 14, 4673, 9346, 32711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65408 and 65422. The biggest common factor number is the GCF number.
So the greatest common factor 65408 and 65422 is 14.

Also check out the Least Common Multiple of 65408 and 65422