What is the Greatest Common Factor of 24803 and 24820?

Greatest common factor (GCF) of 24803 and 24820 is 17.

GCF(24803,24820) = 17

We will now calculate the prime factors of 24803 and 24820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24803 and 24820.

How to find the GCF of 24803 and 24820?

We will first find the prime factorization of 24803 and 24820. After we will calculate the factors of 24803 and 24820 and find the biggest common factor number .

Step-1: Prime Factorization of 24803

Prime factors of 24803 are 17, 1459. Prime factorization of 24803 in exponential form is:

24803 = 17¹ × 1459¹

Step-2: 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-3: Factors of 24803

List of positive integer factors of 24803 that divides 24803 without a remainder.

1, 17, 1459

Step-4: Factors of 24820

List of positive integer factors of 24820 that divides 24803 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24803 and 24820. The biggest common factor number is the GCF number.
So the greatest common factor 24803 and 24820 is 17.

Also check out the Least Common Multiple of 24803 and 24820