What is the Greatest Common Factor of 24136 and 24150?

Greatest common factor (GCF) of 24136 and 24150 is 14.

GCF(24136,24150) = 14

We will now calculate the prime factors of 24136 and 24150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24136 and 24150.

How to find the GCF of 24136 and 24150?

We will first find the prime factorization of 24136 and 24150. After we will calculate the factors of 24136 and 24150 and find the biggest common factor number .

Step-1: Prime Factorization of 24136

Prime factors of 24136 are 2, 7, 431. Prime factorization of 24136 in exponential form is:

24136 = 2³ × 7¹ × 431¹

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 24136

List of positive integer factors of 24136 that divides 24136 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 431, 862, 1724, 3017, 3448, 6034, 12068

Step-4: Factors of 24150

List of positive integer factors of 24150 that divides 24136 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 24136 and 24150. The biggest common factor number is the GCF number.
So the greatest common factor 24136 and 24150 is 14.

Also check out the Least Common Multiple of 24136 and 24150