What is the Greatest Common Factor of 87074 and 87087?

Greatest common factor (GCF) of 87074 and 87087 is 13.

GCF(87074,87087) = 13

We will now calculate the prime factors of 87074 and 87087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87074 and 87087.

How to find the GCF of 87074 and 87087?

We will first find the prime factorization of 87074 and 87087. After we will calculate the factors of 87074 and 87087 and find the biggest common factor number .

Step-1: Prime Factorization of 87074

Prime factors of 87074 are 2, 13, 17, 197. Prime factorization of 87074 in exponential form is:

87074 = 2¹ × 13¹ × 17¹ × 197¹

Step-2: Prime Factorization of 87087

Prime factors of 87087 are 3, 7, 11, 13, 29. Prime factorization of 87087 in exponential form is:

87087 = 3¹ × 7¹ × 11¹ × 13¹ × 29¹

Step-3: Factors of 87074

List of positive integer factors of 87074 that divides 87074 without a remainder.

1, 2, 13, 17, 26, 34, 197, 221, 394, 442, 2561, 3349, 5122, 6698, 43537

Step-4: Factors of 87087

List of positive integer factors of 87087 that divides 87074 without a remainder.

1, 3, 7, 11, 13, 21, 29, 33, 39, 77, 87, 91, 143, 203, 231, 273, 319, 377, 429, 609, 957, 1001, 1131, 2233, 2639, 3003, 4147, 6699, 7917, 12441, 29029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87074 and 87087. The biggest common factor number is the GCF number.
So the greatest common factor 87074 and 87087 is 13.

Also check out the Least Common Multiple of 87074 and 87087