What is the Greatest Common Factor of 47340 and 47350?

Greatest common factor (GCF) of 47340 and 47350 is 10.

GCF(47340,47350) = 10

We will now calculate the prime factors of 47340 and 47350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47340 and 47350.

How to find the GCF of 47340 and 47350?

We will first find the prime factorization of 47340 and 47350. After we will calculate the factors of 47340 and 47350 and find the biggest common factor number .

Step-1: Prime Factorization of 47340

Prime factors of 47340 are 2, 3, 5, 263. Prime factorization of 47340 in exponential form is:

47340 = 2² × 3² × 5¹ × 263¹

Step-2: Prime Factorization of 47350

Prime factors of 47350 are 2, 5, 947. Prime factorization of 47350 in exponential form is:

47350 = 2¹ × 5² × 947¹

Step-3: Factors of 47340

List of positive integer factors of 47340 that divides 47340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 263, 526, 789, 1052, 1315, 1578, 2367, 2630, 3156, 3945, 4734, 5260, 7890, 9468, 11835, 15780, 23670

Step-4: Factors of 47350

List of positive integer factors of 47350 that divides 47340 without a remainder.

1, 2, 5, 10, 25, 50, 947, 1894, 4735, 9470, 23675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47340 and 47350. The biggest common factor number is the GCF number.
So the greatest common factor 47340 and 47350 is 10.

Also check out the Least Common Multiple of 47340 and 47350