What is the Greatest Common Factor of 23430 and 23450?

Greatest common factor (GCF) of 23430 and 23450 is 10.

GCF(23430,23450) = 10

We will now calculate the prime factors of 23430 and 23450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23430 and 23450.

How to find the GCF of 23430 and 23450?

We will first find the prime factorization of 23430 and 23450. After we will calculate the factors of 23430 and 23450 and find the biggest common factor number .

Step-1: Prime Factorization of 23430

Prime factors of 23430 are 2, 3, 5, 11, 71. Prime factorization of 23430 in exponential form is:

23430 = 2¹ × 3¹ × 5¹ × 11¹ × 71¹

Step-2: Prime Factorization of 23450

Prime factors of 23450 are 2, 5, 7, 67. Prime factorization of 23450 in exponential form is:

23450 = 2¹ × 5² × 7¹ × 67¹

Step-3: Factors of 23430

List of positive integer factors of 23430 that divides 23430 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 71, 110, 142, 165, 213, 330, 355, 426, 710, 781, 1065, 1562, 2130, 2343, 3905, 4686, 7810, 11715

Step-4: Factors of 23450

List of positive integer factors of 23450 that divides 23430 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 67, 70, 134, 175, 335, 350, 469, 670, 938, 1675, 2345, 3350, 4690, 11725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23430 and 23450. The biggest common factor number is the GCF number.
So the greatest common factor 23430 and 23450 is 10.

Also check out the Least Common Multiple of 23430 and 23450