What is the Greatest Common Factor of 24140 and 24150?

Greatest common factor (GCF) of 24140 and 24150 is 10.

GCF(24140,24150) = 10

We will now calculate the prime factors of 24140 and 24150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24140 and 24150.

How to find the GCF of 24140 and 24150?

We will first find the prime factorization of 24140 and 24150. After we will calculate the factors of 24140 and 24150 and find the biggest common factor number .

Step-1: Prime Factorization of 24140

Prime factors of 24140 are 2, 5, 17, 71. Prime factorization of 24140 in exponential form is:

24140 = 2² × 5¹ × 17¹ × 71¹

Step-2: Prime Factorization of 24150

Prime factors of 24150 are 2, 3, 5, 7, 23. Prime factorization of 24150 in exponential form is:

24150 = 2¹ × 3¹ × 5² × 7¹ × 23¹

Step-3: Factors of 24140

List of positive integer factors of 24140 that divides 24140 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 71, 85, 142, 170, 284, 340, 355, 710, 1207, 1420, 2414, 4828, 6035, 12070

Step-4: Factors of 24150

List of positive integer factors of 24150 that divides 24140 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 25, 30, 35, 42, 46, 50, 69, 70, 75, 105, 115, 138, 150, 161, 175, 210, 230, 322, 345, 350, 483, 525, 575, 690, 805, 966, 1050, 1150, 1610, 1725, 2415, 3450, 4025, 4830, 8050, 12075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24140 and 24150. The biggest common factor number is the GCF number.
So the greatest common factor 24140 and 24150 is 10.

Also check out the Least Common Multiple of 24140 and 24150