What is the Greatest Common Factor of 35009 and 35022?

Greatest common factor (GCF) of 35009 and 35022 is 13.

GCF(35009,35022) = 13

We will now calculate the prime factors of 35009 and 35022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35009 and 35022.

How to find the GCF of 35009 and 35022?

We will first find the prime factorization of 35009 and 35022. After we will calculate the factors of 35009 and 35022 and find the biggest common factor number .

Step-1: Prime Factorization of 35009

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

35009 = 13¹ × 2693¹

Step-2: Prime Factorization of 35022

Prime factors of 35022 are 2, 3, 13, 449. Prime factorization of 35022 in exponential form is:

35022 = 2¹ × 3¹ × 13¹ × 449¹

Step-3: Factors of 35009

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

1, 13, 2693

Step-4: Factors of 35022

List of positive integer factors of 35022 that divides 35009 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 449, 898, 1347, 2694, 5837, 11674, 17511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35009 and 35022. The biggest common factor number is the GCF number.
So the greatest common factor 35009 and 35022 is 13.

Also check out the Least Common Multiple of 35009 and 35022