What is the Greatest Common Factor of 7035 and 7051?

Greatest common factor (GCF) of 7035 and 7051 is 1.

GCF(7035,7051) = 1

We will now calculate the prime factors of 7035 and 7051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7035 and 7051.

How to find the GCF of 7035 and 7051?

We will first find the prime factorization of 7035 and 7051. After we will calculate the factors of 7035 and 7051 and find the biggest common factor number .

Step-1: Prime Factorization of 7035

Prime factors of 7035 are 3, 5, 7, 67. Prime factorization of 7035 in exponential form is:

7035 = 3¹ × 5¹ × 7¹ × 67¹

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 7035

List of positive integer factors of 7035 that divides 7035 without a remainder.

1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345

Step-4: Factors of 7051

List of positive integer factors of 7051 that divides 7035 without a remainder.

1, 11, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7035 and 7051. The biggest common factor number is the GCF number.
So the greatest common factor 7035 and 7051 is 1.

Also check out the Least Common Multiple of 7035 and 7051