What is the Greatest Common Factor of 49280 and 49291?

Greatest common factor (GCF) of 49280 and 49291 is 11.

GCF(49280,49291) = 11

We will now calculate the prime factors of 49280 and 49291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49280 and 49291.

How to find the GCF of 49280 and 49291?

We will first find the prime factorization of 49280 and 49291. After we will calculate the factors of 49280 and 49291 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 49291

Prime factors of 49291 are 11, 4481. Prime factorization of 49291 in exponential form is:

49291 = 11¹ × 4481¹

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 49291

List of positive integer factors of 49291 that divides 49280 without a remainder.

1, 11, 4481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49280 and 49291. The biggest common factor number is the GCF number.
So the greatest common factor 49280 and 49291 is 11.

Also check out the Least Common Multiple of 49280 and 49291