What is the Greatest Common Factor of 49830 and 49840?

Greatest common factor (GCF) of 49830 and 49840 is 10.

GCF(49830,49840) = 10

We will now calculate the prime factors of 49830 and 49840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49830 and 49840.

How to find the GCF of 49830 and 49840?

We will first find the prime factorization of 49830 and 49840. After we will calculate the factors of 49830 and 49840 and find the biggest common factor number .

Step-1: Prime Factorization of 49830

Prime factors of 49830 are 2, 3, 5, 11, 151. Prime factorization of 49830 in exponential form is:

49830 = 2¹ × 3¹ × 5¹ × 11¹ × 151¹

Step-2: Prime Factorization of 49840

Prime factors of 49840 are 2, 5, 7, 89. Prime factorization of 49840 in exponential form is:

49840 = 2⁴ × 5¹ × 7¹ × 89¹

Step-3: Factors of 49830

List of positive integer factors of 49830 that divides 49830 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 151, 165, 302, 330, 453, 755, 906, 1510, 1661, 2265, 3322, 4530, 4983, 8305, 9966, 16610, 24915

Step-4: Factors of 49840

List of positive integer factors of 49840 that divides 49830 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 89, 112, 140, 178, 280, 356, 445, 560, 623, 712, 890, 1246, 1424, 1780, 2492, 3115, 3560, 4984, 6230, 7120, 9968, 12460, 24920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49830 and 49840. The biggest common factor number is the GCF number.
So the greatest common factor 49830 and 49840 is 10.

Also check out the Least Common Multiple of 49830 and 49840