What is the Greatest Common Factor of 87754 and 87771?

Greatest common factor (GCF) of 87754 and 87771 is 17.

GCF(87754,87771) = 17

We will now calculate the prime factors of 87754 and 87771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87754 and 87771.

How to find the GCF of 87754 and 87771?

We will first find the prime factorization of 87754 and 87771. After we will calculate the factors of 87754 and 87771 and find the biggest common factor number .

Step-1: Prime Factorization of 87754

Prime factors of 87754 are 2, 17, 29, 89. Prime factorization of 87754 in exponential form is:

87754 = 2¹ × 17¹ × 29¹ × 89¹

Step-2: Prime Factorization of 87771

Prime factors of 87771 are 3, 17, 1721. Prime factorization of 87771 in exponential form is:

87771 = 3¹ × 17¹ × 1721¹

Step-3: Factors of 87754

List of positive integer factors of 87754 that divides 87754 without a remainder.

1, 2, 17, 29, 34, 58, 89, 178, 493, 986, 1513, 2581, 3026, 5162, 43877

Step-4: Factors of 87771

List of positive integer factors of 87771 that divides 87754 without a remainder.

1, 3, 17, 51, 1721, 5163, 29257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87754 and 87771. The biggest common factor number is the GCF number.
So the greatest common factor 87754 and 87771 is 17.

Also check out the Least Common Multiple of 87754 and 87771