What is the Greatest Common Factor of 95520 and 95525?

Greatest common factor (GCF) of 95520 and 95525 is 5.

GCF(95520,95525) = 5

We will now calculate the prime factors of 95520 and 95525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95520 and 95525.

How to find the GCF of 95520 and 95525?

We will first find the prime factorization of 95520 and 95525. After we will calculate the factors of 95520 and 95525 and find the biggest common factor number .

Step-1: Prime Factorization of 95520

Prime factors of 95520 are 2, 3, 5, 199. Prime factorization of 95520 in exponential form is:

95520 = 2⁵ × 3¹ × 5¹ × 199¹

Step-2: Prime Factorization of 95525

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

95525 = 5² × 3821¹

Step-3: Factors of 95520

List of positive integer factors of 95520 that divides 95520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 199, 240, 398, 480, 597, 796, 995, 1194, 1592, 1990, 2388, 2985, 3184, 3980, 4776, 5970, 6368, 7960, 9552, 11940, 15920, 19104, 23880, 31840, 47760

Step-4: Factors of 95525

List of positive integer factors of 95525 that divides 95520 without a remainder.

1, 5, 25, 3821, 19105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95520 and 95525. The biggest common factor number is the GCF number.
So the greatest common factor 95520 and 95525 is 5.

Also check out the Least Common Multiple of 95520 and 95525