What is the Greatest Common Factor of 94871 and 94885?

Greatest common factor (GCF) of 94871 and 94885 is 7.

GCF(94871,94885) = 7

We will now calculate the prime factors of 94871 and 94885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94871 and 94885.

How to find the GCF of 94871 and 94885?

We will first find the prime factorization of 94871 and 94885. After we will calculate the factors of 94871 and 94885 and find the biggest common factor number .

Step-1: Prime Factorization of 94871

Prime factors of 94871 are 7, 13553. Prime factorization of 94871 in exponential form is:

94871 = 7¹ × 13553¹

Step-2: Prime Factorization of 94885

Prime factors of 94885 are 5, 7, 2711. Prime factorization of 94885 in exponential form is:

94885 = 5¹ × 7¹ × 2711¹

Step-3: Factors of 94871

List of positive integer factors of 94871 that divides 94871 without a remainder.

1, 7, 13553

Step-4: Factors of 94885

List of positive integer factors of 94885 that divides 94871 without a remainder.

1, 5, 7, 35, 2711, 13555, 18977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94871 and 94885. The biggest common factor number is the GCF number.
So the greatest common factor 94871 and 94885 is 7.

Also check out the Least Common Multiple of 94871 and 94885