What is the Greatest Common Factor of 7050 and 7060?

Greatest common factor (GCF) of 7050 and 7060 is 10.

GCF(7050,7060) = 10

We will now calculate the prime factors of 7050 and 7060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7050 and 7060.

How to find the GCF of 7050 and 7060?

We will first find the prime factorization of 7050 and 7060. After we will calculate the factors of 7050 and 7060 and find the biggest common factor number .

Step-1: Prime Factorization of 7050

Prime factors of 7050 are 2, 3, 5, 47. Prime factorization of 7050 in exponential form is:

7050 = 2¹ × 3¹ × 5² × 47¹

Step-2: Prime Factorization of 7060

Prime factors of 7060 are 2, 5, 353. Prime factorization of 7060 in exponential form is:

7060 = 2² × 5¹ × 353¹

Step-3: Factors of 7050

List of positive integer factors of 7050 that divides 7050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525

Step-4: Factors of 7060

List of positive integer factors of 7060 that divides 7050 without a remainder.

1, 2, 4, 5, 10, 20, 353, 706, 1412, 1765, 3530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7050 and 7060. The biggest common factor number is the GCF number.
So the greatest common factor 7050 and 7060 is 10.

Also check out the Least Common Multiple of 7050 and 7060