What is the Greatest Common Factor of 44640 and 44650?

Greatest common factor (GCF) of 44640 and 44650 is 10.

GCF(44640,44650) = 10

We will now calculate the prime factors of 44640 and 44650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44640 and 44650.

How to find the GCF of 44640 and 44650?

We will first find the prime factorization of 44640 and 44650. After we will calculate the factors of 44640 and 44650 and find the biggest common factor number .

Step-1: Prime Factorization of 44640

Prime factors of 44640 are 2, 3, 5, 31. Prime factorization of 44640 in exponential form is:

44640 = 2⁵ × 3² × 5¹ × 31¹

Step-2: Prime Factorization of 44650

Prime factors of 44650 are 2, 5, 19, 47. Prime factorization of 44650 in exponential form is:

44650 = 2¹ × 5² × 19¹ × 47¹

Step-3: Factors of 44640

List of positive integer factors of 44640 that divides 44640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 31, 32, 36, 40, 45, 48, 60, 62, 72, 80, 90, 93, 96, 120, 124, 144, 155, 160, 180, 186, 240, 248, 279, 288, 310, 360, 372, 465, 480, 496, 558, 620, 720, 744, 930, 992, 1116, 1240, 1395, 1440, 1488, 1860, 2232, 2480, 2790, 2976, 3720, 4464, 4960, 5580, 7440, 8928, 11160, 14880, 22320

Step-4: Factors of 44650

List of positive integer factors of 44650 that divides 44640 without a remainder.

1, 2, 5, 10, 19, 25, 38, 47, 50, 94, 95, 190, 235, 470, 475, 893, 950, 1175, 1786, 2350, 4465, 8930, 22325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44640 and 44650. The biggest common factor number is the GCF number.
So the greatest common factor 44640 and 44650 is 10.

Also check out the Least Common Multiple of 44640 and 44650