What is the Greatest Common Factor of 95550 and 95563?

Greatest common factor (GCF) of 95550 and 95563 is 13.

GCF(95550,95563) = 13

We will now calculate the prime factors of 95550 and 95563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95550 and 95563.

How to find the GCF of 95550 and 95563?

We will first find the prime factorization of 95550 and 95563. After we will calculate the factors of 95550 and 95563 and find the biggest common factor number .

Step-1: Prime Factorization of 95550

Prime factors of 95550 are 2, 3, 5, 7, 13. Prime factorization of 95550 in exponential form is:

95550 = 2¹ × 3¹ × 5² × 7² × 13¹

Step-2: Prime Factorization of 95563

Prime factors of 95563 are 13, 7351. Prime factorization of 95563 in exponential form is:

95563 = 13¹ × 7351¹

Step-3: Factors of 95550

List of positive integer factors of 95550 that divides 95550 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 25, 26, 30, 35, 39, 42, 49, 50, 65, 70, 75, 78, 91, 98, 105, 130, 147, 150, 175, 182, 195, 210, 245, 273, 294, 325, 350, 390, 455, 490, 525, 546, 637, 650, 735, 910, 975, 1050, 1225, 1274, 1365, 1470, 1911, 1950, 2275, 2450, 2730, 3185, 3675, 3822, 4550, 6370, 6825, 7350, 9555, 13650, 15925, 19110, 31850, 47775

Step-4: Factors of 95563

List of positive integer factors of 95563 that divides 95550 without a remainder.

1, 13, 7351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95550 and 95563. The biggest common factor number is the GCF number.
So the greatest common factor 95550 and 95563 is 13.

Also check out the Least Common Multiple of 95550 and 95563