What is the Greatest Common Factor of 95550 and 95570?

Greatest common factor (GCF) of 95550 and 95570 is 10.

GCF(95550,95570) = 10

We will now calculate the prime factors of 95550 and 95570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95550 and 95570.

How to find the GCF of 95550 and 95570?

We will first find the prime factorization of 95550 and 95570. After we will calculate the factors of 95550 and 95570 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 95570

Prime factors of 95570 are 2, 5, 19, 503. Prime factorization of 95570 in exponential form is:

95570 = 2¹ × 5¹ × 19¹ × 503¹

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 95570

List of positive integer factors of 95570 that divides 95550 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 503, 1006, 2515, 5030, 9557, 19114, 47785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95550 and 95570. The biggest common factor number is the GCF number.
So the greatest common factor 95550 and 95570 is 10.

Also check out the Least Common Multiple of 95550 and 95570