What is the Greatest Common Factor of 87737 and 87754?

Greatest common factor (GCF) of 87737 and 87754 is 17.

GCF(87737,87754) = 17

We will now calculate the prime factors of 87737 and 87754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87737 and 87754.

How to find the GCF of 87737 and 87754?

We will first find the prime factorization of 87737 and 87754. After we will calculate the factors of 87737 and 87754 and find the biggest common factor number .

Step-1: Prime Factorization of 87737

Prime factors of 87737 are 13, 17, 397. Prime factorization of 87737 in exponential form is:

87737 = 13¹ × 17¹ × 397¹

Step-2: 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-3: Factors of 87737

List of positive integer factors of 87737 that divides 87737 without a remainder.

1, 13, 17, 221, 397, 5161, 6749

Step-4: Factors of 87754

List of positive integer factors of 87754 that divides 87737 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87737 and 87754. The biggest common factor number is the GCF number.
So the greatest common factor 87737 and 87754 is 17.

Also check out the Least Common Multiple of 87737 and 87754