What is the Greatest Common Factor of 7051 and 7062?

Greatest common factor (GCF) of 7051 and 7062 is 11.

GCF(7051,7062) = 11

We will now calculate the prime factors of 7051 and 7062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7051 and 7062.

How to find the GCF of 7051 and 7062?

We will first find the prime factorization of 7051 and 7062. After we will calculate the factors of 7051 and 7062 and find the biggest common factor number .

Step-1: Prime Factorization of 7051

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

7051 = 11¹ × 641¹

Step-2: Prime Factorization of 7062

Prime factors of 7062 are 2, 3, 11, 107. Prime factorization of 7062 in exponential form is:

7062 = 2¹ × 3¹ × 11¹ × 107¹

Step-3: Factors of 7051

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

1, 11, 641

Step-4: Factors of 7062

List of positive integer factors of 7062 that divides 7051 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 107, 214, 321, 642, 1177, 2354, 3531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7051 and 7062. The biggest common factor number is the GCF number.
So the greatest common factor 7051 and 7062 is 11.

Also check out the Least Common Multiple of 7051 and 7062