What is the Greatest Common Factor of 95520 and 95530?

Greatest common factor (GCF) of 95520 and 95530 is 10.

GCF(95520,95530) = 10

We will now calculate the prime factors of 95520 and 95530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95520 and 95530.

How to find the GCF of 95520 and 95530?

We will first find the prime factorization of 95520 and 95530. After we will calculate the factors of 95520 and 95530 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 95530

Prime factors of 95530 are 2, 5, 41, 233. Prime factorization of 95530 in exponential form is:

95530 = 2¹ × 5¹ × 41¹ × 233¹

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 95530

List of positive integer factors of 95530 that divides 95520 without a remainder.

1, 2, 5, 10, 41, 82, 205, 233, 410, 466, 1165, 2330, 9553, 19106, 47765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95520 and 95530. The biggest common factor number is the GCF number.
So the greatest common factor 95520 and 95530 is 10.

Also check out the Least Common Multiple of 95520 and 95530