What is the Greatest Common Factor of 94540 and 94550?

Greatest common factor (GCF) of 94540 and 94550 is 10.

GCF(94540,94550) = 10

We will now calculate the prime factors of 94540 and 94550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94540 and 94550.

How to find the GCF of 94540 and 94550?

We will first find the prime factorization of 94540 and 94550. After we will calculate the factors of 94540 and 94550 and find the biggest common factor number .

Step-1: Prime Factorization of 94540

Prime factors of 94540 are 2, 5, 29, 163. Prime factorization of 94540 in exponential form is:

94540 = 2² × 5¹ × 29¹ × 163¹

Step-2: Prime Factorization of 94550

Prime factors of 94550 are 2, 5, 31, 61. Prime factorization of 94550 in exponential form is:

94550 = 2¹ × 5² × 31¹ × 61¹

Step-3: Factors of 94540

List of positive integer factors of 94540 that divides 94540 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 163, 290, 326, 580, 652, 815, 1630, 3260, 4727, 9454, 18908, 23635, 47270

Step-4: Factors of 94550

List of positive integer factors of 94550 that divides 94540 without a remainder.

1, 2, 5, 10, 25, 31, 50, 61, 62, 122, 155, 305, 310, 610, 775, 1525, 1550, 1891, 3050, 3782, 9455, 18910, 47275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94540 and 94550. The biggest common factor number is the GCF number.
So the greatest common factor 94540 and 94550 is 10.

Also check out the Least Common Multiple of 94540 and 94550