What is the Greatest Common Factor of 94605 and 94610?

Greatest common factor (GCF) of 94605 and 94610 is 5.

GCF(94605,94610) = 5

We will now calculate the prime factors of 94605 and 94610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94605 and 94610.

How to find the GCF of 94605 and 94610?

We will first find the prime factorization of 94605 and 94610. After we will calculate the factors of 94605 and 94610 and find the biggest common factor number .

Step-1: Prime Factorization of 94605

Prime factors of 94605 are 3, 5, 7, 17, 53. Prime factorization of 94605 in exponential form is:

94605 = 3¹ × 5¹ × 7¹ × 17¹ × 53¹

Step-2: Prime Factorization of 94610

Prime factors of 94610 are 2, 5, 9461. Prime factorization of 94610 in exponential form is:

94610 = 2¹ × 5¹ × 9461¹

Step-3: Factors of 94605

List of positive integer factors of 94605 that divides 94605 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 53, 85, 105, 119, 159, 255, 265, 357, 371, 595, 795, 901, 1113, 1785, 1855, 2703, 4505, 5565, 6307, 13515, 18921, 31535

Step-4: Factors of 94610

List of positive integer factors of 94610 that divides 94605 without a remainder.

1, 2, 5, 10, 9461, 18922, 47305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94605 and 94610. The biggest common factor number is the GCF number.
So the greatest common factor 94605 and 94610 is 5.

Also check out the Least Common Multiple of 94605 and 94610