What is the Greatest Common Factor of 7029 and 7049?

Greatest common factor (GCF) of 7029 and 7049 is 1.

GCF(7029,7049) = 1

We will now calculate the prime factors of 7029 and 7049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7029 and 7049.

How to find the GCF of 7029 and 7049?

We will first find the prime factorization of 7029 and 7049. After we will calculate the factors of 7029 and 7049 and find the biggest common factor number .

Step-1: Prime Factorization of 7029

Prime factors of 7029 are 3, 11, 71. Prime factorization of 7029 in exponential form is:

7029 = 3² × 11¹ × 71¹

Step-2: Prime Factorization of 7049

Prime factors of 7049 are 7, 19, 53. Prime factorization of 7049 in exponential form is:

7049 = 7¹ × 19¹ × 53¹

Step-3: Factors of 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343

Step-4: Factors of 7049

List of positive integer factors of 7049 that divides 7029 without a remainder.

1, 7, 19, 53, 133, 371, 1007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7029 and 7049. The biggest common factor number is the GCF number.
So the greatest common factor 7029 and 7049 is 1.

Also check out the Least Common Multiple of 7029 and 7049