What is the Greatest Common Factor of 87380 and 87400?

Greatest common factor (GCF) of 87380 and 87400 is 20.

GCF(87380,87400) = 20

We will now calculate the prime factors of 87380 and 87400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87380 and 87400.

How to find the GCF of 87380 and 87400?

We will first find the prime factorization of 87380 and 87400. After we will calculate the factors of 87380 and 87400 and find the biggest common factor number .

Step-1: Prime Factorization of 87380

Prime factors of 87380 are 2, 5, 17, 257. Prime factorization of 87380 in exponential form is:

87380 = 2² × 5¹ × 17¹ × 257¹

Step-2: Prime Factorization of 87400

Prime factors of 87400 are 2, 5, 19, 23. Prime factorization of 87400 in exponential form is:

87400 = 2³ × 5² × 19¹ × 23¹

Step-3: Factors of 87380

List of positive integer factors of 87380 that divides 87380 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 257, 340, 514, 1028, 1285, 2570, 4369, 5140, 8738, 17476, 21845, 43690

Step-4: Factors of 87400

List of positive integer factors of 87400 that divides 87380 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 23, 25, 38, 40, 46, 50, 76, 92, 95, 100, 115, 152, 184, 190, 200, 230, 380, 437, 460, 475, 575, 760, 874, 920, 950, 1150, 1748, 1900, 2185, 2300, 3496, 3800, 4370, 4600, 8740, 10925, 17480, 21850, 43700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87380 and 87400. The biggest common factor number is the GCF number.
So the greatest common factor 87380 and 87400 is 20.

Also check out the Least Common Multiple of 87380 and 87400