What is the Greatest Common Factor of 24920 and 24933?

Greatest common factor (GCF) of 24920 and 24933 is 1.

GCF(24920,24933) = 1

We will now calculate the prime factors of 24920 and 24933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24920 and 24933.

How to find the GCF of 24920 and 24933?

We will first find the prime factorization of 24920 and 24933. After we will calculate the factors of 24920 and 24933 and find the biggest common factor number .

Step-1: Prime Factorization of 24920

Prime factors of 24920 are 2, 5, 7, 89. Prime factorization of 24920 in exponential form is:

24920 = 2³ × 5¹ × 7¹ × 89¹

Step-2: Prime Factorization of 24933

Prime factors of 24933 are 3, 8311. Prime factorization of 24933 in exponential form is:

24933 = 3¹ × 8311¹

Step-3: Factors of 24920

List of positive integer factors of 24920 that divides 24920 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 89, 140, 178, 280, 356, 445, 623, 712, 890, 1246, 1780, 2492, 3115, 3560, 4984, 6230, 12460

Step-4: Factors of 24933

List of positive integer factors of 24933 that divides 24920 without a remainder.

1, 3, 8311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24920 and 24933. The biggest common factor number is the GCF number.
So the greatest common factor 24920 and 24933 is 1.

Also check out the Least Common Multiple of 24920 and 24933