What is the Greatest Common Factor of 7056 and 7070?

Greatest common factor (GCF) of 7056 and 7070 is 14.

GCF(7056,7070) = 14

We will now calculate the prime factors of 7056 and 7070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7056 and 7070.

How to find the GCF of 7056 and 7070?

We will first find the prime factorization of 7056 and 7070. After we will calculate the factors of 7056 and 7070 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 7070

Prime factors of 7070 are 2, 5, 7, 101. Prime factorization of 7070 in exponential form is:

7070 = 2¹ × 5¹ × 7¹ × 101¹

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 7070

List of positive integer factors of 7070 that divides 7056 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7056 and 7070. The biggest common factor number is the GCF number.
So the greatest common factor 7056 and 7070 is 14.

Also check out the Least Common Multiple of 7056 and 7070