What is the Greatest Common Factor of 87522 and 87540?

Greatest common factor (GCF) of 87522 and 87540 is 6.

GCF(87522,87540) = 6

We will now calculate the prime factors of 87522 and 87540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87522 and 87540.

How to find the GCF of 87522 and 87540?

We will first find the prime factorization of 87522 and 87540. After we will calculate the factors of 87522 and 87540 and find the biggest common factor number .

Step-1: Prime Factorization of 87522

Prime factors of 87522 are 2, 3, 29, 503. Prime factorization of 87522 in exponential form is:

87522 = 2¹ × 3¹ × 29¹ × 503¹

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 87522

List of positive integer factors of 87522 that divides 87522 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 503, 1006, 1509, 3018, 14587, 29174, 43761

Step-4: Factors of 87540

List of positive integer factors of 87540 that divides 87522 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 87522 and 87540. The biggest common factor number is the GCF number.
So the greatest common factor 87522 and 87540 is 6.

Also check out the Least Common Multiple of 87522 and 87540