What is the Greatest Common Factor of 65398 and 65410?

Greatest common factor (GCF) of 65398 and 65410 is 2.

GCF(65398,65410) = 2

We will now calculate the prime factors of 65398 and 65410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65398 and 65410.

How to find the GCF of 65398 and 65410?

We will first find the prime factorization of 65398 and 65410. After we will calculate the factors of 65398 and 65410 and find the biggest common factor number .

Step-1: Prime Factorization of 65398

Prime factors of 65398 are 2, 19, 1721. Prime factorization of 65398 in exponential form is:

65398 = 2¹ × 19¹ × 1721¹

Step-2: Prime Factorization of 65410

Prime factors of 65410 are 2, 5, 31, 211. Prime factorization of 65410 in exponential form is:

65410 = 2¹ × 5¹ × 31¹ × 211¹

Step-3: Factors of 65398

List of positive integer factors of 65398 that divides 65398 without a remainder.

1, 2, 19, 38, 1721, 3442, 32699

Step-4: Factors of 65410

List of positive integer factors of 65410 that divides 65398 without a remainder.

1, 2, 5, 10, 31, 62, 155, 211, 310, 422, 1055, 2110, 6541, 13082, 32705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65398 and 65410. The biggest common factor number is the GCF number.
So the greatest common factor 65398 and 65410 is 2.

Also check out the Least Common Multiple of 65398 and 65410