What is the Greatest Common Factor of 7049 and 7068?

Greatest common factor (GCF) of 7049 and 7068 is 19.

GCF(7049,7068) = 19

We will now calculate the prime factors of 7049 and 7068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7049 and 7068.

How to find the GCF of 7049 and 7068?

We will first find the prime factorization of 7049 and 7068. After we will calculate the factors of 7049 and 7068 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7068

Prime factors of 7068 are 2, 3, 19, 31. Prime factorization of 7068 in exponential form is:

7068 = 2² × 3¹ × 19¹ × 31¹

Step-3: Factors of 7049

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

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

Step-4: Factors of 7068

List of positive integer factors of 7068 that divides 7049 without a remainder.

1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7049 and 7068. The biggest common factor number is the GCF number.
So the greatest common factor 7049 and 7068 is 19.

Also check out the Least Common Multiple of 7049 and 7068