What is the Greatest Common Factor of 24920 and 24927?

Greatest common factor (GCF) of 24920 and 24927 is 7.

GCF(24920,24927) = 7

We will now calculate the prime factors of 24920 and 24927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24920 and 24927.

How to find the GCF of 24920 and 24927?

We will first find the prime factorization of 24920 and 24927. After we will calculate the factors of 24920 and 24927 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 24927

Prime factors of 24927 are 3, 7, 1187. Prime factorization of 24927 in exponential form is:

24927 = 3¹ × 7¹ × 1187¹

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 24927

List of positive integer factors of 24927 that divides 24920 without a remainder.

1, 3, 7, 21, 1187, 3561, 8309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24920 and 24927. The biggest common factor number is the GCF number.
So the greatest common factor 24920 and 24927 is 7.

Also check out the Least Common Multiple of 24920 and 24927