What is the Greatest Common Factor of 34986 and 34999?

Greatest common factor (GCF) of 34986 and 34999 is 1.

GCF(34986,34999) = 1

We will now calculate the prime factors of 34986 and 34999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34986 and 34999.

How to find the GCF of 34986 and 34999?

We will first find the prime factorization of 34986 and 34999. After we will calculate the factors of 34986 and 34999 and find the biggest common factor number .

Step-1: Prime Factorization of 34986

Prime factors of 34986 are 2, 3, 7, 17. Prime factorization of 34986 in exponential form is:

34986 = 2¹ × 3¹ × 7³ × 17¹

Step-2: Prime Factorization of 34999

Prime factors of 34999 are 31, 1129. Prime factorization of 34999 in exponential form is:

34999 = 31¹ × 1129¹

Step-3: Factors of 34986

List of positive integer factors of 34986 that divides 34986 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 343, 357, 686, 714, 833, 1029, 1666, 2058, 2499, 4998, 5831, 11662, 17493

Step-4: Factors of 34999

List of positive integer factors of 34999 that divides 34986 without a remainder.

1, 31, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34986 and 34999. The biggest common factor number is the GCF number.
So the greatest common factor 34986 and 34999 is 1.

Also check out the Least Common Multiple of 34986 and 34999