What is the Greatest Common Factor of 87916 and 87935?

Greatest common factor (GCF) of 87916 and 87935 is 1.

GCF(87916,87935) = 1

We will now calculate the prime factors of 87916 and 87935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87916 and 87935.

How to find the GCF of 87916 and 87935?

We will first find the prime factorization of 87916 and 87935. After we will calculate the factors of 87916 and 87935 and find the biggest common factor number .

Step-1: Prime Factorization of 87916

Prime factors of 87916 are 2, 31, 709. Prime factorization of 87916 in exponential form is:

87916 = 2² × 31¹ × 709¹

Step-2: Prime Factorization of 87935

Prime factors of 87935 are 5, 43, 409. Prime factorization of 87935 in exponential form is:

87935 = 5¹ × 43¹ × 409¹

Step-3: Factors of 87916

List of positive integer factors of 87916 that divides 87916 without a remainder.

1, 2, 4, 31, 62, 124, 709, 1418, 2836, 21979, 43958

Step-4: Factors of 87935

List of positive integer factors of 87935 that divides 87916 without a remainder.

1, 5, 43, 215, 409, 2045, 17587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87916 and 87935. The biggest common factor number is the GCF number.
So the greatest common factor 87916 and 87935 is 1.

Also check out the Least Common Multiple of 87916 and 87935