What is the Greatest Common Factor of 87400 and 87414?

Greatest common factor (GCF) of 87400 and 87414 is 2.

GCF(87400,87414) = 2

We will now calculate the prime factors of 87400 and 87414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87400 and 87414.

How to find the GCF of 87400 and 87414?

We will first find the prime factorization of 87400 and 87414. After we will calculate the factors of 87400 and 87414 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 87414

Prime factors of 87414 are 2, 3, 17, 857. Prime factorization of 87414 in exponential form is:

87414 = 2¹ × 3¹ × 17¹ × 857¹

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 87414

List of positive integer factors of 87414 that divides 87400 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 857, 1714, 2571, 5142, 14569, 29138, 43707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87400 and 87414. The biggest common factor number is the GCF number.
So the greatest common factor 87400 and 87414 is 2.

Also check out the Least Common Multiple of 87400 and 87414