What is the Greatest Common Factor of 7021 and 7035?

Greatest common factor (GCF) of 7021 and 7035 is 7.

GCF(7021,7035) = 7

We will now calculate the prime factors of 7021 and 7035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7021 and 7035.

How to find the GCF of 7021 and 7035?

We will first find the prime factorization of 7021 and 7035. After we will calculate the factors of 7021 and 7035 and find the biggest common factor number .

Step-1: Prime Factorization of 7021

Prime factors of 7021 are 7, 17, 59. Prime factorization of 7021 in exponential form is:

7021 = 7¹ × 17¹ × 59¹

Step-2: 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-3: Factors of 7021

List of positive integer factors of 7021 that divides 7021 without a remainder.

1, 7, 17, 59, 119, 413, 1003

Step-4: Factors of 7035

List of positive integer factors of 7035 that divides 7021 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7021 and 7035. The biggest common factor number is the GCF number.
So the greatest common factor 7021 and 7035 is 7.

Also check out the Least Common Multiple of 7021 and 7035