What is the Greatest Common Factor of 65401 and 65408?

Greatest common factor (GCF) of 65401 and 65408 is 7.

GCF(65401,65408) = 7

We will now calculate the prime factors of 65401 and 65408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65401 and 65408.

How to find the GCF of 65401 and 65408?

We will first find the prime factorization of 65401 and 65408. After we will calculate the factors of 65401 and 65408 and find the biggest common factor number .

Step-1: Prime Factorization of 65401

Prime factors of 65401 are 7, 9343. Prime factorization of 65401 in exponential form is:

65401 = 7¹ × 9343¹

Step-2: 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-3: Factors of 65401

List of positive integer factors of 65401 that divides 65401 without a remainder.

1, 7, 9343

Step-4: Factors of 65408

List of positive integer factors of 65408 that divides 65401 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65401 and 65408. The biggest common factor number is the GCF number.
So the greatest common factor 65401 and 65408 is 7.

Also check out the Least Common Multiple of 65401 and 65408