What is the Greatest Common Factor of 47430 and 47450?

Greatest common factor (GCF) of 47430 and 47450 is 10.

GCF(47430,47450) = 10

We will now calculate the prime factors of 47430 and 47450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47430 and 47450.

How to find the GCF of 47430 and 47450?

We will first find the prime factorization of 47430 and 47450. After we will calculate the factors of 47430 and 47450 and find the biggest common factor number .

Step-1: Prime Factorization of 47430

Prime factors of 47430 are 2, 3, 5, 17, 31. Prime factorization of 47430 in exponential form is:

47430 = 2¹ × 3² × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 47450

Prime factors of 47450 are 2, 5, 13, 73. Prime factorization of 47450 in exponential form is:

47450 = 2¹ × 5² × 13¹ × 73¹

Step-3: Factors of 47430

List of positive integer factors of 47430 that divides 47430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 31, 34, 45, 51, 62, 85, 90, 93, 102, 153, 155, 170, 186, 255, 279, 306, 310, 465, 510, 527, 558, 765, 930, 1054, 1395, 1530, 1581, 2635, 2790, 3162, 4743, 5270, 7905, 9486, 15810, 23715

Step-4: Factors of 47450

List of positive integer factors of 47450 that divides 47430 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 73, 130, 146, 325, 365, 650, 730, 949, 1825, 1898, 3650, 4745, 9490, 23725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47430 and 47450. The biggest common factor number is the GCF number.
So the greatest common factor 47430 and 47450 is 10.

Also check out the Least Common Multiple of 47430 and 47450