What is the Greatest Common Factor of 7012 and 7030?

Greatest common factor (GCF) of 7012 and 7030 is 2.

GCF(7012,7030) = 2

We will now calculate the prime factors of 7012 and 7030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7012 and 7030.

How to find the GCF of 7012 and 7030?

We will first find the prime factorization of 7012 and 7030. After we will calculate the factors of 7012 and 7030 and find the biggest common factor number .

Step-1: Prime Factorization of 7012

Prime factors of 7012 are 2, 1753. Prime factorization of 7012 in exponential form is:

7012 = 2² × 1753¹

Step-2: Prime Factorization of 7030

Prime factors of 7030 are 2, 5, 19, 37. Prime factorization of 7030 in exponential form is:

7030 = 2¹ × 5¹ × 19¹ × 37¹

Step-3: Factors of 7012

List of positive integer factors of 7012 that divides 7012 without a remainder.

1, 2, 4, 1753, 3506

Step-4: Factors of 7030

List of positive integer factors of 7030 that divides 7012 without a remainder.

1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7012 and 7030. The biggest common factor number is the GCF number.
So the greatest common factor 7012 and 7030 is 2.

Also check out the Least Common Multiple of 7012 and 7030