What is the Greatest Common Factor of 95525 and 95540?

Greatest common factor (GCF) of 95525 and 95540 is 5.

GCF(95525,95540) = 5

We will now calculate the prime factors of 95525 and 95540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95525 and 95540.

How to find the GCF of 95525 and 95540?

We will first find the prime factorization of 95525 and 95540. After we will calculate the factors of 95525 and 95540 and find the biggest common factor number .

Step-1: Prime Factorization of 95525

Prime factors of 95525 are 5, 3821. Prime factorization of 95525 in exponential form is:

95525 = 5² × 3821¹

Step-2: Prime Factorization of 95540

Prime factors of 95540 are 2, 5, 17, 281. Prime factorization of 95540 in exponential form is:

95540 = 2² × 5¹ × 17¹ × 281¹

Step-3: Factors of 95525

List of positive integer factors of 95525 that divides 95525 without a remainder.

1, 5, 25, 3821, 19105

Step-4: Factors of 95540

List of positive integer factors of 95540 that divides 95525 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 281, 340, 562, 1124, 1405, 2810, 4777, 5620, 9554, 19108, 23885, 47770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95525 and 95540. The biggest common factor number is the GCF number.
So the greatest common factor 95525 and 95540 is 5.

Also check out the Least Common Multiple of 95525 and 95540