What is the Greatest Common Factor of 7261 and 7280?

Greatest common factor (GCF) of 7261 and 7280 is 1.

GCF(7261,7280) = 1

We will now calculate the prime factors of 7261 and 7280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7261 and 7280.

How to find the GCF of 7261 and 7280?

We will first find the prime factorization of 7261 and 7280. After we will calculate the factors of 7261 and 7280 and find the biggest common factor number .

Step-1: Prime Factorization of 7261

Prime factors of 7261 are 53, 137. Prime factorization of 7261 in exponential form is:

7261 = 53¹ × 137¹

Step-2: Prime Factorization of 7280

Prime factors of 7280 are 2, 5, 7, 13. Prime factorization of 7280 in exponential form is:

7280 = 2⁴ × 5¹ × 7¹ × 13¹

Step-3: Factors of 7261

List of positive integer factors of 7261 that divides 7261 without a remainder.

1, 53, 137

Step-4: Factors of 7280

List of positive integer factors of 7280 that divides 7261 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7261 and 7280. The biggest common factor number is the GCF number.
So the greatest common factor 7261 and 7280 is 1.

Also check out the Least Common Multiple of 7261 and 7280