What is the Greatest Common Factor of 87582 and 87602?

Greatest common factor (GCF) of 87582 and 87602 is 2.

GCF(87582,87602) = 2

We will now calculate the prime factors of 87582 and 87602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87582 and 87602.

How to find the GCF of 87582 and 87602?

We will first find the prime factorization of 87582 and 87602. After we will calculate the factors of 87582 and 87602 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87602

Prime factors of 87602 are 2, 43801. Prime factorization of 87602 in exponential form is:

87602 = 2¹ × 43801¹

Step-3: Factors of 87582

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

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

Step-4: Factors of 87602

List of positive integer factors of 87602 that divides 87582 without a remainder.

1, 2, 43801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87582 and 87602. The biggest common factor number is the GCF number.
So the greatest common factor 87582 and 87602 is 2.

Also check out the Least Common Multiple of 87582 and 87602