What is the Greatest Common Factor of 49280 and 49297?

Greatest common factor (GCF) of 49280 and 49297 is 1.

GCF(49280,49297) = 1

We will now calculate the prime factors of 49280 and 49297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49280 and 49297.

How to find the GCF of 49280 and 49297?

We will first find the prime factorization of 49280 and 49297. After we will calculate the factors of 49280 and 49297 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 49297

Prime factors of 49297 are 49297. Prime factorization of 49297 in exponential form is:

49297 = 49297¹

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 49297

List of positive integer factors of 49297 that divides 49280 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49280 and 49297. The biggest common factor number is the GCF number.
So the greatest common factor 49280 and 49297 is 1.

Also check out the Least Common Multiple of 49280 and 49297