What is the Greatest Common Factor of 7021 and 7038?

Greatest common factor (GCF) of 7021 and 7038 is 17.

GCF(7021,7038) = 17

We will now calculate the prime factors of 7021 and 7038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7021 and 7038.

How to find the GCF of 7021 and 7038?

We will first find the prime factorization of 7021 and 7038. After we will calculate the factors of 7021 and 7038 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 7038

Prime factors of 7038 are 2, 3, 17, 23. Prime factorization of 7038 in exponential form is:

7038 = 2¹ × 3² × 17¹ × 23¹

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 7038

List of positive integer factors of 7038 that divides 7021 without a remainder.

1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7021 and 7038. The biggest common factor number is the GCF number.
So the greatest common factor 7021 and 7038 is 17.

Also check out the Least Common Multiple of 7021 and 7038