What is the Greatest Common Factor of 92794 and 92807?

Greatest common factor (GCF) of 92794 and 92807 is 13.

GCF(92794,92807) = 13

We will now calculate the prime factors of 92794 and 92807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92794 and 92807.

How to find the GCF of 92794 and 92807?

We will first find the prime factorization of 92794 and 92807. After we will calculate the factors of 92794 and 92807 and find the biggest common factor number .

Step-1: Prime Factorization of 92794

Prime factors of 92794 are 2, 13, 43, 83. Prime factorization of 92794 in exponential form is:

92794 = 2¹ × 13¹ × 43¹ × 83¹

Step-2: Prime Factorization of 92807

Prime factors of 92807 are 11, 13, 59. Prime factorization of 92807 in exponential form is:

92807 = 11² × 13¹ × 59¹

Step-3: Factors of 92794

List of positive integer factors of 92794 that divides 92794 without a remainder.

1, 2, 13, 26, 43, 83, 86, 166, 559, 1079, 1118, 2158, 3569, 7138, 46397

Step-4: Factors of 92807

List of positive integer factors of 92807 that divides 92794 without a remainder.

1, 11, 13, 59, 121, 143, 649, 767, 1573, 7139, 8437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92794 and 92807. The biggest common factor number is the GCF number.
So the greatest common factor 92794 and 92807 is 13.

Also check out the Least Common Multiple of 92794 and 92807