What is the Greatest Common Factor of 47020 and 47030?

Greatest common factor (GCF) of 47020 and 47030 is 10.

GCF(47020,47030) = 10

We will now calculate the prime factors of 47020 and 47030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47020 and 47030.

How to find the GCF of 47020 and 47030?

We will first find the prime factorization of 47020 and 47030. After we will calculate the factors of 47020 and 47030 and find the biggest common factor number .

Step-1: Prime Factorization of 47020

Prime factors of 47020 are 2, 5, 2351. Prime factorization of 47020 in exponential form is:

47020 = 2² × 5¹ × 2351¹

Step-2: Prime Factorization of 47030

Prime factors of 47030 are 2, 5, 4703. Prime factorization of 47030 in exponential form is:

47030 = 2¹ × 5¹ × 4703¹

Step-3: Factors of 47020

List of positive integer factors of 47020 that divides 47020 without a remainder.

1, 2, 4, 5, 10, 20, 2351, 4702, 9404, 11755, 23510

Step-4: Factors of 47030

List of positive integer factors of 47030 that divides 47020 without a remainder.

1, 2, 5, 10, 4703, 9406, 23515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47020 and 47030. The biggest common factor number is the GCF number.
So the greatest common factor 47020 and 47030 is 10.

Also check out the Least Common Multiple of 47020 and 47030