What is the Greatest Common Factor of 94787 and 94798?

Greatest common factor (GCF) of 94787 and 94798 is 11.

GCF(94787,94798) = 11

We will now calculate the prime factors of 94787 and 94798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94787 and 94798.

How to find the GCF of 94787 and 94798?

We will first find the prime factorization of 94787 and 94798. After we will calculate the factors of 94787 and 94798 and find the biggest common factor number .

Step-1: Prime Factorization of 94787

Prime factors of 94787 are 7, 11, 1231. Prime factorization of 94787 in exponential form is:

94787 = 7¹ × 11¹ × 1231¹

Step-2: Prime Factorization of 94798

Prime factors of 94798 are 2, 11, 31, 139. Prime factorization of 94798 in exponential form is:

94798 = 2¹ × 11¹ × 31¹ × 139¹

Step-3: Factors of 94787

List of positive integer factors of 94787 that divides 94787 without a remainder.

1, 7, 11, 77, 1231, 8617, 13541

Step-4: Factors of 94798

List of positive integer factors of 94798 that divides 94787 without a remainder.

1, 2, 11, 22, 31, 62, 139, 278, 341, 682, 1529, 3058, 4309, 8618, 47399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94787 and 94798. The biggest common factor number is the GCF number.
So the greatest common factor 94787 and 94798 is 11.

Also check out the Least Common Multiple of 94787 and 94798