What is the Greatest Common Factor of 50281 and 50288?

Greatest common factor (GCF) of 50281 and 50288 is 7.

GCF(50281,50288) = 7

We will now calculate the prime factors of 50281 and 50288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50281 and 50288.

How to find the GCF of 50281 and 50288?

We will first find the prime factorization of 50281 and 50288. After we will calculate the factors of 50281 and 50288 and find the biggest common factor number .

Step-1: Prime Factorization of 50281

Prime factors of 50281 are 7, 11, 653. Prime factorization of 50281 in exponential form is:

50281 = 7¹ × 11¹ × 653¹

Step-2: Prime Factorization of 50288

Prime factors of 50288 are 2, 7, 449. Prime factorization of 50288 in exponential form is:

50288 = 2⁴ × 7¹ × 449¹

Step-3: Factors of 50281

List of positive integer factors of 50281 that divides 50281 without a remainder.

1, 7, 11, 77, 653, 4571, 7183

Step-4: Factors of 50288

List of positive integer factors of 50288 that divides 50281 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 449, 898, 1796, 3143, 3592, 6286, 7184, 12572, 25144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50281 and 50288. The biggest common factor number is the GCF number.
So the greatest common factor 50281 and 50288 is 7.

Also check out the Least Common Multiple of 50281 and 50288