What is the Greatest Common Factor of 7056 and 7065?

Greatest common factor (GCF) of 7056 and 7065 is 9.

GCF(7056,7065) = 9

We will now calculate the prime factors of 7056 and 7065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7056 and 7065.

How to find the GCF of 7056 and 7065?

We will first find the prime factorization of 7056 and 7065. After we will calculate the factors of 7056 and 7065 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 7065

Prime factors of 7065 are 3, 5, 157. Prime factorization of 7065 in exponential form is:

7065 = 3² × 5¹ × 157¹

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 7065

List of positive integer factors of 7065 that divides 7056 without a remainder.

1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7056 and 7065. The biggest common factor number is the GCF number.
So the greatest common factor 7056 and 7065 is 9.

Also check out the Least Common Multiple of 7056 and 7065