What is the Greatest Common Factor of 87536 and 87540?

Greatest common factor (GCF) of 87536 and 87540 is 4.

GCF(87536,87540) = 4

We will now calculate the prime factors of 87536 and 87540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87536 and 87540.

How to find the GCF of 87536 and 87540?

We will first find the prime factorization of 87536 and 87540. After we will calculate the factors of 87536 and 87540 and find the biggest common factor number .

Step-1: Prime Factorization of 87536

Prime factors of 87536 are 2, 5471. Prime factorization of 87536 in exponential form is:

87536 = 2⁴ × 5471¹

Step-2: Prime Factorization of 87540

Prime factors of 87540 are 2, 3, 5, 1459. Prime factorization of 87540 in exponential form is:

87540 = 2² × 3¹ × 5¹ × 1459¹

Step-3: Factors of 87536

List of positive integer factors of 87536 that divides 87536 without a remainder.

1, 2, 4, 8, 16, 5471, 10942, 21884, 43768

Step-4: Factors of 87540

List of positive integer factors of 87540 that divides 87536 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1459, 2918, 4377, 5836, 7295, 8754, 14590, 17508, 21885, 29180, 43770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87536 and 87540. The biggest common factor number is the GCF number.
So the greatest common factor 87536 and 87540 is 4.

Also check out the Least Common Multiple of 87536 and 87540