What is the Greatest Common Factor of 24820 and 24827?

Greatest common factor (GCF) of 24820 and 24827 is 1.

GCF(24820,24827) = 1

We will now calculate the prime factors of 24820 and 24827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24820 and 24827.

How to find the GCF of 24820 and 24827?

We will first find the prime factorization of 24820 and 24827. After we will calculate the factors of 24820 and 24827 and find the biggest common factor number .

Step-1: Prime Factorization of 24820

Prime factors of 24820 are 2, 5, 17, 73. Prime factorization of 24820 in exponential form is:

24820 = 2² × 5¹ × 17¹ × 73¹

Step-2: Prime Factorization of 24827

Prime factors of 24827 are 11, 37, 61. Prime factorization of 24827 in exponential form is:

24827 = 11¹ × 37¹ × 61¹

Step-3: Factors of 24820

List of positive integer factors of 24820 that divides 24820 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 73, 85, 146, 170, 292, 340, 365, 730, 1241, 1460, 2482, 4964, 6205, 12410

Step-4: Factors of 24827

List of positive integer factors of 24827 that divides 24820 without a remainder.

1, 11, 37, 61, 407, 671, 2257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24820 and 24827. The biggest common factor number is the GCF number.
So the greatest common factor 24820 and 24827 is 1.

Also check out the Least Common Multiple of 24820 and 24827