What is the Greatest Common Factor of 87400 and 87410?

Greatest common factor (GCF) of 87400 and 87410 is 10.

GCF(87400,87410) = 10

We will now calculate the prime factors of 87400 and 87410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87400 and 87410.

How to find the GCF of 87400 and 87410?

We will first find the prime factorization of 87400 and 87410. After we will calculate the factors of 87400 and 87410 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87410

Prime factors of 87410 are 2, 5, 8741. Prime factorization of 87410 in exponential form is:

87410 = 2¹ × 5¹ × 8741¹

Step-3: Factors of 87400

List of positive integer factors of 87400 that divides 87400 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

Step-4: Factors of 87410

List of positive integer factors of 87410 that divides 87400 without a remainder.

1, 2, 5, 10, 8741, 17482, 43705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87400 and 87410. The biggest common factor number is the GCF number.
So the greatest common factor 87400 and 87410 is 10.

Also check out the Least Common Multiple of 87400 and 87410