What is the Greatest Common Factor of 49280 and 49290?

Greatest common factor (GCF) of 49280 and 49290 is 10.

GCF(49280,49290) = 10

We will now calculate the prime factors of 49280 and 49290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49280 and 49290.

How to find the GCF of 49280 and 49290?

We will first find the prime factorization of 49280 and 49290. After we will calculate the factors of 49280 and 49290 and find the biggest common factor number .

Step-1: Prime Factorization of 49280

Prime factors of 49280 are 2, 5, 7, 11. Prime factorization of 49280 in exponential form is:

49280 = 2⁷ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 49290

Prime factors of 49290 are 2, 3, 5, 31, 53. Prime factorization of 49290 in exponential form is:

49290 = 2¹ × 3¹ × 5¹ × 31¹ × 53¹

Step-3: Factors of 49280

List of positive integer factors of 49280 that divides 49280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 32, 35, 40, 44, 55, 56, 64, 70, 77, 80, 88, 110, 112, 128, 140, 154, 160, 176, 220, 224, 280, 308, 320, 352, 385, 440, 448, 560, 616, 640, 704, 770, 880, 896, 1120, 1232, 1408, 1540, 1760, 2240, 2464, 3080, 3520, 4480, 4928, 6160, 7040, 9856, 12320, 24640

Step-4: Factors of 49290

List of positive integer factors of 49290 that divides 49280 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 53, 62, 93, 106, 155, 159, 186, 265, 310, 318, 465, 530, 795, 930, 1590, 1643, 3286, 4929, 8215, 9858, 16430, 24645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49280 and 49290. The biggest common factor number is the GCF number.
So the greatest common factor 49280 and 49290 is 10.

Also check out the Least Common Multiple of 49280 and 49290