What is the Greatest Common Factor of 87690 and 87705?

Greatest common factor (GCF) of 87690 and 87705 is 15.

GCF(87690,87705) = 15

We will now calculate the prime factors of 87690 and 87705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87690 and 87705.

How to find the GCF of 87690 and 87705?

We will first find the prime factorization of 87690 and 87705. After we will calculate the factors of 87690 and 87705 and find the biggest common factor number .

Step-1: Prime Factorization of 87690

Prime factors of 87690 are 2, 3, 5, 37, 79. Prime factorization of 87690 in exponential form is:

87690 = 2¹ × 3¹ × 5¹ × 37¹ × 79¹

Step-2: Prime Factorization of 87705

Prime factors of 87705 are 3, 5, 1949. Prime factorization of 87705 in exponential form is:

87705 = 3² × 5¹ × 1949¹

Step-3: Factors of 87690

List of positive integer factors of 87690 that divides 87690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 79, 111, 158, 185, 222, 237, 370, 395, 474, 555, 790, 1110, 1185, 2370, 2923, 5846, 8769, 14615, 17538, 29230, 43845

Step-4: Factors of 87705

List of positive integer factors of 87705 that divides 87690 without a remainder.

1, 3, 5, 9, 15, 45, 1949, 5847, 9745, 17541, 29235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87690 and 87705. The biggest common factor number is the GCF number.
So the greatest common factor 87690 and 87705 is 15.

Also check out the Least Common Multiple of 87690 and 87705