What is the Greatest Common Factor of 87246 and 87250?

Greatest common factor (GCF) of 87246 and 87250 is 2.

GCF(87246,87250) = 2

We will now calculate the prime factors of 87246 and 87250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87246 and 87250.

How to find the GCF of 87246 and 87250?

We will first find the prime factorization of 87246 and 87250. After we will calculate the factors of 87246 and 87250 and find the biggest common factor number .

Step-1: Prime Factorization of 87246

Prime factors of 87246 are 2, 3, 37, 131. Prime factorization of 87246 in exponential form is:

87246 = 2¹ × 3² × 37¹ × 131¹

Step-2: Prime Factorization of 87250

Prime factors of 87250 are 2, 5, 349. Prime factorization of 87250 in exponential form is:

87250 = 2¹ × 5³ × 349¹

Step-3: Factors of 87246

List of positive integer factors of 87246 that divides 87246 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 131, 222, 262, 333, 393, 666, 786, 1179, 2358, 4847, 9694, 14541, 29082, 43623

Step-4: Factors of 87250

List of positive integer factors of 87250 that divides 87246 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 349, 698, 1745, 3490, 8725, 17450, 43625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87246 and 87250. The biggest common factor number is the GCF number.
So the greatest common factor 87246 and 87250 is 2.

Also check out the Least Common Multiple of 87246 and 87250