What is the Greatest Common Factor of 87735 and 87740?

Greatest common factor (GCF) of 87735 and 87740 is 5.

GCF(87735,87740) = 5

We will now calculate the prime factors of 87735 and 87740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87735 and 87740.

How to find the GCF of 87735 and 87740?

We will first find the prime factorization of 87735 and 87740. After we will calculate the factors of 87735 and 87740 and find the biggest common factor number .

Step-1: Prime Factorization of 87735

Prime factors of 87735 are 3, 5, 5849. Prime factorization of 87735 in exponential form is:

87735 = 3¹ × 5¹ × 5849¹

Step-2: Prime Factorization of 87740

Prime factors of 87740 are 2, 5, 41, 107. Prime factorization of 87740 in exponential form is:

87740 = 2² × 5¹ × 41¹ × 107¹

Step-3: Factors of 87735

List of positive integer factors of 87735 that divides 87735 without a remainder.

1, 3, 5, 15, 5849, 17547, 29245

Step-4: Factors of 87740

List of positive integer factors of 87740 that divides 87735 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 107, 164, 205, 214, 410, 428, 535, 820, 1070, 2140, 4387, 8774, 17548, 21935, 43870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87735 and 87740. The biggest common factor number is the GCF number.
So the greatest common factor 87735 and 87740 is 5.

Also check out the Least Common Multiple of 87735 and 87740