What is the Greatest Common Factor of 49824 and 49840?

Greatest common factor (GCF) of 49824 and 49840 is 16.

GCF(49824,49840) = 16

We will now calculate the prime factors of 49824 and 49840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49824 and 49840.

How to find the GCF of 49824 and 49840?

We will first find the prime factorization of 49824 and 49840. After we will calculate the factors of 49824 and 49840 and find the biggest common factor number .

Step-1: Prime Factorization of 49824

Prime factors of 49824 are 2, 3, 173. Prime factorization of 49824 in exponential form is:

49824 = 2⁵ × 3² × 173¹

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 49824

List of positive integer factors of 49824 that divides 49824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 173, 288, 346, 519, 692, 1038, 1384, 1557, 2076, 2768, 3114, 4152, 5536, 6228, 8304, 12456, 16608, 24912

Step-4: Factors of 49840

List of positive integer factors of 49840 that divides 49824 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 49824 and 49840. The biggest common factor number is the GCF number.
So the greatest common factor 49824 and 49840 is 16.

Also check out the Least Common Multiple of 49824 and 49840