What is the Greatest Common Factor of 88524 and 88540?

Greatest common factor (GCF) of 88524 and 88540 is 4.

GCF(88524,88540) = 4

We will now calculate the prime factors of 88524 and 88540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88524 and 88540.

How to find the GCF of 88524 and 88540?

We will first find the prime factorization of 88524 and 88540. After we will calculate the factors of 88524 and 88540 and find the biggest common factor number .

Step-1: Prime Factorization of 88524

Prime factors of 88524 are 2, 3, 2459. Prime factorization of 88524 in exponential form is:

88524 = 2² × 3² × 2459¹

Step-2: Prime Factorization of 88540

Prime factors of 88540 are 2, 5, 19, 233. Prime factorization of 88540 in exponential form is:

88540 = 2² × 5¹ × 19¹ × 233¹

Step-3: Factors of 88524

List of positive integer factors of 88524 that divides 88524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2459, 4918, 7377, 9836, 14754, 22131, 29508, 44262

Step-4: Factors of 88540

List of positive integer factors of 88540 that divides 88524 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 233, 380, 466, 932, 1165, 2330, 4427, 4660, 8854, 17708, 22135, 44270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88524 and 88540. The biggest common factor number is the GCF number.
So the greatest common factor 88524 and 88540 is 4.

Also check out the Least Common Multiple of 88524 and 88540