What is the Greatest Common Factor of 7056 and 7075?

Greatest common factor (GCF) of 7056 and 7075 is 1.

GCF(7056,7075) = 1

We will now calculate the prime factors of 7056 and 7075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7056 and 7075.

How to find the GCF of 7056 and 7075?

We will first find the prime factorization of 7056 and 7075. After we will calculate the factors of 7056 and 7075 and find the biggest common factor number .

Step-1: Prime Factorization of 7056

Prime factors of 7056 are 2, 3, 7. Prime factorization of 7056 in exponential form is:

7056 = 2⁴ × 3² × 7²

Step-2: Prime Factorization of 7075

Prime factors of 7075 are 5, 283. Prime factorization of 7075 in exponential form is:

7075 = 5² × 283¹

Step-3: Factors of 7056

List of positive integer factors of 7056 that divides 7056 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528

Step-4: Factors of 7075

List of positive integer factors of 7075 that divides 7056 without a remainder.

1, 5, 25, 283, 1415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7056 and 7075. The biggest common factor number is the GCF number.
So the greatest common factor 7056 and 7075 is 1.

Also check out the Least Common Multiple of 7056 and 7075