What is the Greatest Common Factor of 44832 and 44840?

Greatest common factor (GCF) of 44832 and 44840 is 8.

GCF(44832,44840) = 8

We will now calculate the prime factors of 44832 and 44840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44832 and 44840.

How to find the GCF of 44832 and 44840?

We will first find the prime factorization of 44832 and 44840. After we will calculate the factors of 44832 and 44840 and find the biggest common factor number .

Step-1: Prime Factorization of 44832

Prime factors of 44832 are 2, 3, 467. Prime factorization of 44832 in exponential form is:

44832 = 2⁵ × 3¹ × 467¹

Step-2: Prime Factorization of 44840

Prime factors of 44840 are 2, 5, 19, 59. Prime factorization of 44840 in exponential form is:

44840 = 2³ × 5¹ × 19¹ × 59¹

Step-3: Factors of 44832

List of positive integer factors of 44832 that divides 44832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 467, 934, 1401, 1868, 2802, 3736, 5604, 7472, 11208, 14944, 22416

Step-4: Factors of 44840

List of positive integer factors of 44840 that divides 44832 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 59, 76, 95, 118, 152, 190, 236, 295, 380, 472, 590, 760, 1121, 1180, 2242, 2360, 4484, 5605, 8968, 11210, 22420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44832 and 44840. The biggest common factor number is the GCF number.
So the greatest common factor 44832 and 44840 is 8.

Also check out the Least Common Multiple of 44832 and 44840