What is the Greatest Common Factor of 34999 and 35009?

Greatest common factor (GCF) of 34999 and 35009 is 1.

GCF(34999,35009) = 1

We will now calculate the prime factors of 34999 and 35009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34999 and 35009.

How to find the GCF of 34999 and 35009?

We will first find the prime factorization of 34999 and 35009. After we will calculate the factors of 34999 and 35009 and find the biggest common factor number .

Step-1: Prime Factorization of 34999

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

34999 = 31¹ × 1129¹

Step-2: Prime Factorization of 35009

Prime factors of 35009 are 13, 2693. Prime factorization of 35009 in exponential form is:

35009 = 13¹ × 2693¹

Step-3: Factors of 34999

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

1, 31, 1129

Step-4: Factors of 35009

List of positive integer factors of 35009 that divides 34999 without a remainder.

1, 13, 2693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34999 and 35009. The biggest common factor number is the GCF number.
So the greatest common factor 34999 and 35009 is 1.

Also check out the Least Common Multiple of 34999 and 35009