What is the Greatest Common Factor of 87690 and 87700?

Greatest common factor (GCF) of 87690 and 87700 is 10.

GCF(87690,87700) = 10

We will now calculate the prime factors of 87690 and 87700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87690 and 87700.

How to find the GCF of 87690 and 87700?

We will first find the prime factorization of 87690 and 87700. After we will calculate the factors of 87690 and 87700 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 87700

Prime factors of 87700 are 2, 5, 877. Prime factorization of 87700 in exponential form is:

87700 = 2² × 5² × 877¹

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 87700

List of positive integer factors of 87700 that divides 87690 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 877, 1754, 3508, 4385, 8770, 17540, 21925, 43850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87690 and 87700. The biggest common factor number is the GCF number.
So the greatest common factor 87690 and 87700 is 10.

Also check out the Least Common Multiple of 87690 and 87700