What is the Greatest Common Factor of 87076 and 87087?

Greatest common factor (GCF) of 87076 and 87087 is 11.

GCF(87076,87087) = 11

We will now calculate the prime factors of 87076 and 87087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87076 and 87087.

How to find the GCF of 87076 and 87087?

We will first find the prime factorization of 87076 and 87087. After we will calculate the factors of 87076 and 87087 and find the biggest common factor number .

Step-1: Prime Factorization of 87076

Prime factors of 87076 are 2, 11, 1979. Prime factorization of 87076 in exponential form is:

87076 = 2² × 11¹ × 1979¹

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 87076

List of positive integer factors of 87076 that divides 87076 without a remainder.

1, 2, 4, 11, 22, 44, 1979, 3958, 7916, 21769, 43538

Step-4: Factors of 87087

List of positive integer factors of 87087 that divides 87076 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 87076 and 87087. The biggest common factor number is the GCF number.
So the greatest common factor 87076 and 87087 is 11.

Also check out the Least Common Multiple of 87076 and 87087