What is the Greatest Common Factor of 87562 and 87582?

Greatest common factor (GCF) of 87562 and 87582 is 2.

GCF(87562,87582) = 2

We will now calculate the prime factors of 87562 and 87582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87562 and 87582.

How to find the GCF of 87562 and 87582?

We will first find the prime factorization of 87562 and 87582. After we will calculate the factors of 87562 and 87582 and find the biggest common factor number .

Step-1: Prime Factorization of 87562

Prime factors of 87562 are 2, 43781. Prime factorization of 87562 in exponential form is:

87562 = 2¹ × 43781¹

Step-2: Prime Factorization of 87582

Prime factors of 87582 are 2, 3, 11, 1327. Prime factorization of 87582 in exponential form is:

87582 = 2¹ × 3¹ × 11¹ × 1327¹

Step-3: Factors of 87562

List of positive integer factors of 87562 that divides 87562 without a remainder.

1, 2, 43781

Step-4: Factors of 87582

List of positive integer factors of 87582 that divides 87562 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1327, 2654, 3981, 7962, 14597, 29194, 43791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87562 and 87582. The biggest common factor number is the GCF number.
So the greatest common factor 87562 and 87582 is 2.

Also check out the Least Common Multiple of 87562 and 87582