What is the Greatest Common Factor of 48829 and 48840?

Greatest common factor (GCF) of 48829 and 48840 is 11.

GCF(48829,48840) = 11

We will now calculate the prime factors of 48829 and 48840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48829 and 48840.

How to find the GCF of 48829 and 48840?

We will first find the prime factorization of 48829 and 48840. After we will calculate the factors of 48829 and 48840 and find the biggest common factor number .

Step-1: Prime Factorization of 48829

Prime factors of 48829 are 11, 23, 193. Prime factorization of 48829 in exponential form is:

48829 = 11¹ × 23¹ × 193¹

Step-2: Prime Factorization of 48840

Prime factors of 48840 are 2, 3, 5, 11, 37. Prime factorization of 48840 in exponential form is:

48840 = 2³ × 3¹ × 5¹ × 11¹ × 37¹

Step-3: Factors of 48829

List of positive integer factors of 48829 that divides 48829 without a remainder.

1, 11, 23, 193, 253, 2123, 4439

Step-4: Factors of 48840

List of positive integer factors of 48840 that divides 48829 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 37, 40, 44, 55, 60, 66, 74, 88, 110, 111, 120, 132, 148, 165, 185, 220, 222, 264, 296, 330, 370, 407, 440, 444, 555, 660, 740, 814, 888, 1110, 1221, 1320, 1480, 1628, 2035, 2220, 2442, 3256, 4070, 4440, 4884, 6105, 8140, 9768, 12210, 16280, 24420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48829 and 48840. The biggest common factor number is the GCF number.
So the greatest common factor 48829 and 48840 is 11.

Also check out the Least Common Multiple of 48829 and 48840