What is the Greatest Common Factor of 65462 and 65468?

Greatest common factor (GCF) of 65462 and 65468 is 2.

GCF(65462,65468) = 2

We will now calculate the prime factors of 65462 and 65468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65462 and 65468.

How to find the GCF of 65462 and 65468?

We will first find the prime factorization of 65462 and 65468. After we will calculate the factors of 65462 and 65468 and find the biggest common factor number .

Step-1: Prime Factorization of 65462

Prime factors of 65462 are 2, 71, 461. Prime factorization of 65462 in exponential form is:

65462 = 2¹ × 71¹ × 461¹

Step-2: Prime Factorization of 65468

Prime factors of 65468 are 2, 13, 1259. Prime factorization of 65468 in exponential form is:

65468 = 2² × 13¹ × 1259¹

Step-3: Factors of 65462

List of positive integer factors of 65462 that divides 65462 without a remainder.

1, 2, 71, 142, 461, 922, 32731

Step-4: Factors of 65468

List of positive integer factors of 65468 that divides 65462 without a remainder.

1, 2, 4, 13, 26, 52, 1259, 2518, 5036, 16367, 32734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65462 and 65468. The biggest common factor number is the GCF number.
So the greatest common factor 65462 and 65468 is 2.

Also check out the Least Common Multiple of 65462 and 65468