What is the Greatest Common Factor of 87398 and 87416?

Greatest common factor (GCF) of 87398 and 87416 is 2.

GCF(87398,87416) = 2

We will now calculate the prime factors of 87398 and 87416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87398 and 87416.

How to find the GCF of 87398 and 87416?

We will first find the prime factorization of 87398 and 87416. After we will calculate the factors of 87398 and 87416 and find the biggest common factor number .

Step-1: Prime Factorization of 87398

Prime factors of 87398 are 2, 89, 491. Prime factorization of 87398 in exponential form is:

87398 = 2¹ × 89¹ × 491¹

Step-2: Prime Factorization of 87416

Prime factors of 87416 are 2, 7, 223. Prime factorization of 87416 in exponential form is:

87416 = 2³ × 7² × 223¹

Step-3: Factors of 87398

List of positive integer factors of 87398 that divides 87398 without a remainder.

1, 2, 89, 178, 491, 982, 43699

Step-4: Factors of 87416

List of positive integer factors of 87416 that divides 87398 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 223, 392, 446, 892, 1561, 1784, 3122, 6244, 10927, 12488, 21854, 43708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87398 and 87416. The biggest common factor number is the GCF number.
So the greatest common factor 87398 and 87416 is 2.

Also check out the Least Common Multiple of 87398 and 87416