What is the Greatest Common Factor of 24820 and 24840?

Greatest common factor (GCF) of 24820 and 24840 is 20.

GCF(24820,24840) = 20

We will now calculate the prime factors of 24820 and 24840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24820 and 24840.

How to find the GCF of 24820 and 24840?

We will first find the prime factorization of 24820 and 24840. After we will calculate the factors of 24820 and 24840 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 24840

Prime factors of 24840 are 2, 3, 5, 23. Prime factorization of 24840 in exponential form is:

24840 = 2³ × 3³ × 5¹ × 23¹

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 24840

List of positive integer factors of 24840 that divides 24820 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 27, 30, 36, 40, 45, 46, 54, 60, 69, 72, 90, 92, 108, 115, 120, 135, 138, 180, 184, 207, 216, 230, 270, 276, 345, 360, 414, 460, 540, 552, 621, 690, 828, 920, 1035, 1080, 1242, 1380, 1656, 2070, 2484, 2760, 3105, 4140, 4968, 6210, 8280, 12420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24820 and 24840. The biggest common factor number is the GCF number.
So the greatest common factor 24820 and 24840 is 20.

Also check out the Least Common Multiple of 24820 and 24840