What is the Greatest Common Factor of 95550 and 95564?

Greatest common factor (GCF) of 95550 and 95564 is 14.

GCF(95550,95564) = 14

We will now calculate the prime factors of 95550 and 95564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95550 and 95564.

How to find the GCF of 95550 and 95564?

We will first find the prime factorization of 95550 and 95564. After we will calculate the factors of 95550 and 95564 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 95564

Prime factors of 95564 are 2, 7, 3413. Prime factorization of 95564 in exponential form is:

95564 = 2² × 7¹ × 3413¹

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 95564

List of positive integer factors of 95564 that divides 95550 without a remainder.

1, 2, 4, 7, 14, 28, 3413, 6826, 13652, 23891, 47782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95550 and 95564. The biggest common factor number is the GCF number.
So the greatest common factor 95550 and 95564 is 14.

Also check out the Least Common Multiple of 95550 and 95564