What is the Greatest Common Factor of 87736 and 87747?

Greatest common factor (GCF) of 87736 and 87747 is 11.

GCF(87736,87747) = 11

We will now calculate the prime factors of 87736 and 87747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87736 and 87747.

How to find the GCF of 87736 and 87747?

We will first find the prime factorization of 87736 and 87747. After we will calculate the factors of 87736 and 87747 and find the biggest common factor number .

Step-1: Prime Factorization of 87736

Prime factors of 87736 are 2, 11, 997. Prime factorization of 87736 in exponential form is:

87736 = 2³ × 11¹ × 997¹

Step-2: Prime Factorization of 87747

Prime factors of 87747 are 3, 11, 2659. Prime factorization of 87747 in exponential form is:

87747 = 3¹ × 11¹ × 2659¹

Step-3: Factors of 87736

List of positive integer factors of 87736 that divides 87736 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 997, 1994, 3988, 7976, 10967, 21934, 43868

Step-4: Factors of 87747

List of positive integer factors of 87747 that divides 87736 without a remainder.

1, 3, 11, 33, 2659, 7977, 29249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87736 and 87747. The biggest common factor number is the GCF number.
So the greatest common factor 87736 and 87747 is 11.

Also check out the Least Common Multiple of 87736 and 87747