What is the Greatest Common Factor of 95550 and 95560?

Greatest common factor (GCF) of 95550 and 95560 is 10.

GCF(95550,95560) = 10

We will now calculate the prime factors of 95550 and 95560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95550 and 95560.

How to find the GCF of 95550 and 95560?

We will first find the prime factorization of 95550 and 95560. After we will calculate the factors of 95550 and 95560 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 95560

Prime factors of 95560 are 2, 5, 2389. Prime factorization of 95560 in exponential form is:

95560 = 2³ × 5¹ × 2389¹

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 95560

List of positive integer factors of 95560 that divides 95550 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2389, 4778, 9556, 11945, 19112, 23890, 47780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95550 and 95560. The biggest common factor number is the GCF number.
So the greatest common factor 95550 and 95560 is 10.

Also check out the Least Common Multiple of 95550 and 95560