What is the Greatest Common Factor of 87836 and 87850?

Greatest common factor (GCF) of 87836 and 87850 is 14.

GCF(87836,87850) = 14

We will now calculate the prime factors of 87836 and 87850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87836 and 87850.

How to find the GCF of 87836 and 87850?

We will first find the prime factorization of 87836 and 87850. After we will calculate the factors of 87836 and 87850 and find the biggest common factor number .

Step-1: Prime Factorization of 87836

Prime factors of 87836 are 2, 7, 3137. Prime factorization of 87836 in exponential form is:

87836 = 2² × 7¹ × 3137¹

Step-2: Prime Factorization of 87850

Prime factors of 87850 are 2, 5, 7, 251. Prime factorization of 87850 in exponential form is:

87850 = 2¹ × 5² × 7¹ × 251¹

Step-3: Factors of 87836

List of positive integer factors of 87836 that divides 87836 without a remainder.

1, 2, 4, 7, 14, 28, 3137, 6274, 12548, 21959, 43918

Step-4: Factors of 87850

List of positive integer factors of 87850 that divides 87836 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 251, 350, 502, 1255, 1757, 2510, 3514, 6275, 8785, 12550, 17570, 43925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87836 and 87850. The biggest common factor number is the GCF number.
So the greatest common factor 87836 and 87850 is 14.

Also check out the Least Common Multiple of 87836 and 87850