What is the Greatest Common Factor of 87747 and 87758?

Greatest common factor (GCF) of 87747 and 87758 is 11.

GCF(87747,87758) = 11

We will now calculate the prime factors of 87747 and 87758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87747 and 87758.

How to find the GCF of 87747 and 87758?

We will first find the prime factorization of 87747 and 87758. After we will calculate the factors of 87747 and 87758 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87758

Prime factors of 87758 are 2, 11, 3989. Prime factorization of 87758 in exponential form is:

87758 = 2¹ × 11¹ × 3989¹

Step-3: Factors of 87747

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

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

Step-4: Factors of 87758

List of positive integer factors of 87758 that divides 87747 without a remainder.

1, 2, 11, 22, 3989, 7978, 43879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87747 and 87758. The biggest common factor number is the GCF number.
So the greatest common factor 87747 and 87758 is 11.

Also check out the Least Common Multiple of 87747 and 87758