What is the Greatest Common Factor of 49833 and 49840?

Greatest common factor (GCF) of 49833 and 49840 is 7.

GCF(49833,49840) = 7

We will now calculate the prime factors of 49833 and 49840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49833 and 49840.

How to find the GCF of 49833 and 49840?

We will first find the prime factorization of 49833 and 49840. After we will calculate the factors of 49833 and 49840 and find the biggest common factor number .

Step-1: Prime Factorization of 49833

Prime factors of 49833 are 3, 7, 113. Prime factorization of 49833 in exponential form is:

49833 = 3² × 7² × 113¹

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 49833

List of positive integer factors of 49833 that divides 49833 without a remainder.

1, 3, 7, 9, 21, 49, 63, 113, 147, 339, 441, 791, 1017, 2373, 5537, 7119, 16611

Step-4: Factors of 49840

List of positive integer factors of 49840 that divides 49833 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 49833 and 49840. The biggest common factor number is the GCF number.
So the greatest common factor 49833 and 49840 is 7.

Also check out the Least Common Multiple of 49833 and 49840