What is the Greatest Common Factor of 7035 and 7054?

Greatest common factor (GCF) of 7035 and 7054 is 1.

GCF(7035,7054) = 1

We will now calculate the prime factors of 7035 and 7054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7035 and 7054.

How to find the GCF of 7035 and 7054?

We will first find the prime factorization of 7035 and 7054. After we will calculate the factors of 7035 and 7054 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 7054

Prime factors of 7054 are 2, 3527. Prime factorization of 7054 in exponential form is:

7054 = 2¹ × 3527¹

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 7054

List of positive integer factors of 7054 that divides 7035 without a remainder.

1, 2, 3527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7035 and 7054. The biggest common factor number is the GCF number.
So the greatest common factor 7035 and 7054 is 1.

Also check out the Least Common Multiple of 7035 and 7054