What is the Greatest Common Factor of 92872 and 92885?

Greatest common factor (GCF) of 92872 and 92885 is 13.

GCF(92872,92885) = 13

We will now calculate the prime factors of 92872 and 92885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92872 and 92885.

How to find the GCF of 92872 and 92885?

We will first find the prime factorization of 92872 and 92885. After we will calculate the factors of 92872 and 92885 and find the biggest common factor number .

Step-1: Prime Factorization of 92872

Prime factors of 92872 are 2, 13, 19, 47. Prime factorization of 92872 in exponential form is:

92872 = 2³ × 13¹ × 19¹ × 47¹

Step-2: Prime Factorization of 92885

Prime factors of 92885 are 5, 13, 1429. Prime factorization of 92885 in exponential form is:

92885 = 5¹ × 13¹ × 1429¹

Step-3: Factors of 92872

List of positive integer factors of 92872 that divides 92872 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 47, 52, 76, 94, 104, 152, 188, 247, 376, 494, 611, 893, 988, 1222, 1786, 1976, 2444, 3572, 4888, 7144, 11609, 23218, 46436

Step-4: Factors of 92885

List of positive integer factors of 92885 that divides 92872 without a remainder.

1, 5, 13, 65, 1429, 7145, 18577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92872 and 92885. The biggest common factor number is the GCF number.
So the greatest common factor 92872 and 92885 is 13.

Also check out the Least Common Multiple of 92872 and 92885