What is the Greatest Common Factor of 65084 and 65102?

Greatest common factor (GCF) of 65084 and 65102 is 2.

GCF(65084,65102) = 2

We will now calculate the prime factors of 65084 and 65102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65084 and 65102.

How to find the GCF of 65084 and 65102?

We will first find the prime factorization of 65084 and 65102. After we will calculate the factors of 65084 and 65102 and find the biggest common factor number .

Step-1: Prime Factorization of 65084

Prime factors of 65084 are 2, 53, 307. Prime factorization of 65084 in exponential form is:

65084 = 2² × 53¹ × 307¹

Step-2: Prime Factorization of 65102

Prime factors of 65102 are 2, 43, 757. Prime factorization of 65102 in exponential form is:

65102 = 2¹ × 43¹ × 757¹

Step-3: Factors of 65084

List of positive integer factors of 65084 that divides 65084 without a remainder.

1, 2, 4, 53, 106, 212, 307, 614, 1228, 16271, 32542

Step-4: Factors of 65102

List of positive integer factors of 65102 that divides 65084 without a remainder.

1, 2, 43, 86, 757, 1514, 32551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65084 and 65102. The biggest common factor number is the GCF number.
So the greatest common factor 65084 and 65102 is 2.

Also check out the Least Common Multiple of 65084 and 65102