What is the Greatest Common Factor of 7032 and 7042?

Greatest common factor (GCF) of 7032 and 7042 is 2.

GCF(7032,7042) = 2

We will now calculate the prime factors of 7032 and 7042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7032 and 7042.

How to find the GCF of 7032 and 7042?

We will first find the prime factorization of 7032 and 7042. After we will calculate the factors of 7032 and 7042 and find the biggest common factor number .

Step-1: Prime Factorization of 7032

Prime factors of 7032 are 2, 3, 293. Prime factorization of 7032 in exponential form is:

7032 = 2³ × 3¹ × 293¹

Step-2: Prime Factorization of 7042

Prime factors of 7042 are 2, 7, 503. Prime factorization of 7042 in exponential form is:

7042 = 2¹ × 7¹ × 503¹

Step-3: Factors of 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516

Step-4: Factors of 7042

List of positive integer factors of 7042 that divides 7032 without a remainder.

1, 2, 7, 14, 503, 1006, 3521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7032 and 7042. The biggest common factor number is the GCF number.
So the greatest common factor 7032 and 7042 is 2.

Also check out the Least Common Multiple of 7032 and 7042