What is the Greatest Common Factor of 50288 and 50302?

Greatest common factor (GCF) of 50288 and 50302 is 14.

GCF(50288,50302) = 14

We will now calculate the prime factors of 50288 and 50302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50288 and 50302.

How to find the GCF of 50288 and 50302?

We will first find the prime factorization of 50288 and 50302. After we will calculate the factors of 50288 and 50302 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50302

Prime factors of 50302 are 2, 7, 3593. Prime factorization of 50302 in exponential form is:

50302 = 2¹ × 7¹ × 3593¹

Step-3: Factors of 50288

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

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

Step-4: Factors of 50302

List of positive integer factors of 50302 that divides 50288 without a remainder.

1, 2, 7, 14, 3593, 7186, 25151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50288 and 50302. The biggest common factor number is the GCF number.
So the greatest common factor 50288 and 50302 is 14.

Also check out the Least Common Multiple of 50288 and 50302