What is the Greatest Common Factor of 34887 and 34902?

Greatest common factor (GCF) of 34887 and 34902 is 3.

GCF(34887,34902) = 3

We will now calculate the prime factors of 34887 and 34902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34887 and 34902.

How to find the GCF of 34887 and 34902?

We will first find the prime factorization of 34887 and 34902. After we will calculate the factors of 34887 and 34902 and find the biggest common factor number .

Step-1: Prime Factorization of 34887

Prime factors of 34887 are 3, 29, 401. Prime factorization of 34887 in exponential form is:

34887 = 3¹ × 29¹ × 401¹

Step-2: Prime Factorization of 34902

Prime factors of 34902 are 2, 3, 7, 277. Prime factorization of 34902 in exponential form is:

34902 = 2¹ × 3² × 7¹ × 277¹

Step-3: Factors of 34887

List of positive integer factors of 34887 that divides 34887 without a remainder.

1, 3, 29, 87, 401, 1203, 11629

Step-4: Factors of 34902

List of positive integer factors of 34902 that divides 34887 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 277, 554, 831, 1662, 1939, 2493, 3878, 4986, 5817, 11634, 17451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34887 and 34902. The biggest common factor number is the GCF number.
So the greatest common factor 34887 and 34902 is 3.

Also check out the Least Common Multiple of 34887 and 34902