What is the Greatest Common Factor of 49270 and 49280?

Greatest common factor (GCF) of 49270 and 49280 is 10.

GCF(49270,49280) = 10

We will now calculate the prime factors of 49270 and 49280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49270 and 49280.

How to find the GCF of 49270 and 49280?

We will first find the prime factorization of 49270 and 49280. After we will calculate the factors of 49270 and 49280 and find the biggest common factor number .

Step-1: Prime Factorization of 49270

Prime factors of 49270 are 2, 5, 13, 379. Prime factorization of 49270 in exponential form is:

49270 = 2¹ × 5¹ × 13¹ × 379¹

Step-2: 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-3: Factors of 49270

List of positive integer factors of 49270 that divides 49270 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 379, 758, 1895, 3790, 4927, 9854, 24635

Step-4: Factors of 49280

List of positive integer factors of 49280 that divides 49270 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49270 and 49280. The biggest common factor number is the GCF number.
So the greatest common factor 49270 and 49280 is 10.

Also check out the Least Common Multiple of 49270 and 49280