What is the Greatest Common Factor of 7053 and 7068?

Greatest common factor (GCF) of 7053 and 7068 is 3.

GCF(7053,7068) = 3

We will now calculate the prime factors of 7053 and 7068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7053 and 7068.

How to find the GCF of 7053 and 7068?

We will first find the prime factorization of 7053 and 7068. After we will calculate the factors of 7053 and 7068 and find the biggest common factor number .

Step-1: Prime Factorization of 7053

Prime factors of 7053 are 3, 2351. Prime factorization of 7053 in exponential form is:

7053 = 3¹ × 2351¹

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 7053

List of positive integer factors of 7053 that divides 7053 without a remainder.

1, 3, 2351

Step-4: Factors of 7068

List of positive integer factors of 7068 that divides 7053 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 7053 and 7068. The biggest common factor number is the GCF number.
So the greatest common factor 7053 and 7068 is 3.

Also check out the Least Common Multiple of 7053 and 7068