What is the Greatest Common Factor of 47310 and 47320?

Greatest common factor (GCF) of 47310 and 47320 is 10.

GCF(47310,47320) = 10

We will now calculate the prime factors of 47310 and 47320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47310 and 47320.

How to find the GCF of 47310 and 47320?

We will first find the prime factorization of 47310 and 47320. After we will calculate the factors of 47310 and 47320 and find the biggest common factor number .

Step-1: Prime Factorization of 47310

Prime factors of 47310 are 2, 3, 5, 19, 83. Prime factorization of 47310 in exponential form is:

47310 = 2¹ × 3¹ × 5¹ × 19¹ × 83¹

Step-2: Prime Factorization of 47320

Prime factors of 47320 are 2, 5, 7, 13. Prime factorization of 47320 in exponential form is:

47320 = 2³ × 5¹ × 7¹ × 13²

Step-3: Factors of 47310

List of positive integer factors of 47310 that divides 47310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 83, 95, 114, 166, 190, 249, 285, 415, 498, 570, 830, 1245, 1577, 2490, 3154, 4731, 7885, 9462, 15770, 23655

Step-4: Factors of 47320

List of positive integer factors of 47320 that divides 47310 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 169, 182, 260, 280, 338, 364, 455, 520, 676, 728, 845, 910, 1183, 1352, 1690, 1820, 2366, 3380, 3640, 4732, 5915, 6760, 9464, 11830, 23660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47310 and 47320. The biggest common factor number is the GCF number.
So the greatest common factor 47310 and 47320 is 10.

Also check out the Least Common Multiple of 47310 and 47320