What is the Greatest Common Factor of 85498 and 85516?

Greatest common factor (GCF) of 85498 and 85516 is 2.

GCF(85498,85516) = 2

We will now calculate the prime factors of 85498 and 85516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85498 and 85516.

How to find the GCF of 85498 and 85516?

We will first find the prime factorization of 85498 and 85516. After we will calculate the factors of 85498 and 85516 and find the biggest common factor number .

Step-1: Prime Factorization of 85498

Prime factors of 85498 are 2, 7, 31, 197. Prime factorization of 85498 in exponential form is:

85498 = 2¹ × 7¹ × 31¹ × 197¹

Step-2: Prime Factorization of 85516

Prime factors of 85516 are 2, 21379. Prime factorization of 85516 in exponential form is:

85516 = 2² × 21379¹

Step-3: Factors of 85498

List of positive integer factors of 85498 that divides 85498 without a remainder.

1, 2, 7, 14, 31, 62, 197, 217, 394, 434, 1379, 2758, 6107, 12214, 42749

Step-4: Factors of 85516

List of positive integer factors of 85516 that divides 85498 without a remainder.

1, 2, 4, 21379, 42758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85498 and 85516. The biggest common factor number is the GCF number.
So the greatest common factor 85498 and 85516 is 2.

Also check out the Least Common Multiple of 85498 and 85516