What is the Greatest Common Factor of 95508 and 95520?

Greatest common factor (GCF) of 95508 and 95520 is 12.

GCF(95508,95520) = 12

We will now calculate the prime factors of 95508 and 95520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95508 and 95520.

How to find the GCF of 95508 and 95520?

We will first find the prime factorization of 95508 and 95520. After we will calculate the factors of 95508 and 95520 and find the biggest common factor number .

Step-1: Prime Factorization of 95508

Prime factors of 95508 are 2, 3, 7, 379. Prime factorization of 95508 in exponential form is:

95508 = 2² × 3² × 7¹ × 379¹

Step-2: 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-3: Factors of 95508

List of positive integer factors of 95508 that divides 95508 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 379, 758, 1137, 1516, 2274, 2653, 3411, 4548, 5306, 6822, 7959, 10612, 13644, 15918, 23877, 31836, 47754

Step-4: Factors of 95520

List of positive integer factors of 95520 that divides 95508 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95508 and 95520. The biggest common factor number is the GCF number.
So the greatest common factor 95508 and 95520 is 12.

Also check out the Least Common Multiple of 95508 and 95520