What is the Greatest Common Factor of 94874 and 94890?

Greatest common factor (GCF) of 94874 and 94890 is 2.

GCF(94874,94890) = 2

We will now calculate the prime factors of 94874 and 94890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94874 and 94890.

How to find the GCF of 94874 and 94890?

We will first find the prime factorization of 94874 and 94890. After we will calculate the factors of 94874 and 94890 and find the biggest common factor number .

Step-1: Prime Factorization of 94874

Prime factors of 94874 are 2, 13, 41, 89. Prime factorization of 94874 in exponential form is:

94874 = 2¹ × 13¹ × 41¹ × 89¹

Step-2: Prime Factorization of 94890

Prime factors of 94890 are 2, 3, 5, 3163. Prime factorization of 94890 in exponential form is:

94890 = 2¹ × 3¹ × 5¹ × 3163¹

Step-3: Factors of 94874

List of positive integer factors of 94874 that divides 94874 without a remainder.

1, 2, 13, 26, 41, 82, 89, 178, 533, 1066, 1157, 2314, 3649, 7298, 47437

Step-4: Factors of 94890

List of positive integer factors of 94890 that divides 94874 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3163, 6326, 9489, 15815, 18978, 31630, 47445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94874 and 94890. The biggest common factor number is the GCF number.
So the greatest common factor 94874 and 94890 is 2.

Also check out the Least Common Multiple of 94874 and 94890