What is the Greatest Common Factor of 7054 and 7072?

Greatest common factor (GCF) of 7054 and 7072 is 2.

GCF(7054,7072) = 2

We will now calculate the prime factors of 7054 and 7072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7054 and 7072.

How to find the GCF of 7054 and 7072?

We will first find the prime factorization of 7054 and 7072. After we will calculate the factors of 7054 and 7072 and find the biggest common factor number .

Step-1: Prime Factorization of 7054

Prime factors of 7054 are 2, 3527. Prime factorization of 7054 in exponential form is:

7054 = 2¹ × 3527¹

Step-2: Prime Factorization of 7072

Prime factors of 7072 are 2, 13, 17. Prime factorization of 7072 in exponential form is:

7072 = 2⁵ × 13¹ × 17¹

Step-3: Factors of 7054

List of positive integer factors of 7054 that divides 7054 without a remainder.

1, 2, 3527

Step-4: Factors of 7072

List of positive integer factors of 7072 that divides 7054 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7054 and 7072. The biggest common factor number is the GCF number.
So the greatest common factor 7054 and 7072 is 2.

Also check out the Least Common Multiple of 7054 and 7072