What is the Greatest Common Factor of 7034 and 7051?

Greatest common factor (GCF) of 7034 and 7051 is 1.

GCF(7034,7051) = 1

We will now calculate the prime factors of 7034 and 7051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7034 and 7051.

How to find the GCF of 7034 and 7051?

We will first find the prime factorization of 7034 and 7051. After we will calculate the factors of 7034 and 7051 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 7051

Prime factors of 7051 are 11, 641. Prime factorization of 7051 in exponential form is:

7051 = 11¹ × 641¹

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 7051

List of positive integer factors of 7051 that divides 7034 without a remainder.

1, 11, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7034 and 7051. The biggest common factor number is the GCF number.
So the greatest common factor 7034 and 7051 is 1.

Also check out the Least Common Multiple of 7034 and 7051