What is the Greatest Common Factor of 86498 and 86516?

Greatest common factor (GCF) of 86498 and 86516 is 2.

GCF(86498,86516) = 2

We will now calculate the prime factors of 86498 and 86516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86498 and 86516.

How to find the GCF of 86498 and 86516?

We will first find the prime factorization of 86498 and 86516. After we will calculate the factors of 86498 and 86516 and find the biggest common factor number .

Step-1: Prime Factorization of 86498

Prime factors of 86498 are 2, 61, 709. Prime factorization of 86498 in exponential form is:

86498 = 2¹ × 61¹ × 709¹

Step-2: Prime Factorization of 86516

Prime factors of 86516 are 2, 43, 503. Prime factorization of 86516 in exponential form is:

86516 = 2² × 43¹ × 503¹

Step-3: Factors of 86498

List of positive integer factors of 86498 that divides 86498 without a remainder.

1, 2, 61, 122, 709, 1418, 43249

Step-4: Factors of 86516

List of positive integer factors of 86516 that divides 86498 without a remainder.

1, 2, 4, 43, 86, 172, 503, 1006, 2012, 21629, 43258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86498 and 86516. The biggest common factor number is the GCF number.
So the greatest common factor 86498 and 86516 is 2.

Also check out the Least Common Multiple of 86498 and 86516