What is the Greatest Common Factor of 7034 and 7046?

Greatest common factor (GCF) of 7034 and 7046 is 2.

GCF(7034,7046) = 2

We will now calculate the prime factors of 7034 and 7046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7034 and 7046.

How to find the GCF of 7034 and 7046?

We will first find the prime factorization of 7034 and 7046. After we will calculate the factors of 7034 and 7046 and find the biggest common factor number .

Step-1: Prime Factorization of 7034

Prime factors of 7034 are 2, 3517. Prime factorization of 7034 in exponential form is:

7034 = 2¹ × 3517¹

Step-2: Prime Factorization of 7046

Prime factors of 7046 are 2, 13, 271. Prime factorization of 7046 in exponential form is:

7046 = 2¹ × 13¹ × 271¹

Step-3: Factors of 7034

List of positive integer factors of 7034 that divides 7034 without a remainder.

1, 2, 3517

Step-4: Factors of 7046

List of positive integer factors of 7046 that divides 7034 without a remainder.

1, 2, 13, 26, 271, 542, 3523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7034 and 7046. The biggest common factor number is the GCF number.
So the greatest common factor 7034 and 7046 is 2.

Also check out the Least Common Multiple of 7034 and 7046