What is the Greatest Common Factor of 50224 and 50235?

Greatest common factor (GCF) of 50224 and 50235 is 1.

GCF(50224,50235) = 1

We will now calculate the prime factors of 50224 and 50235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50224 and 50235.

How to find the GCF of 50224 and 50235?

We will first find the prime factorization of 50224 and 50235. After we will calculate the factors of 50224 and 50235 and find the biggest common factor number .

Step-1: Prime Factorization of 50224

Prime factors of 50224 are 2, 43, 73. Prime factorization of 50224 in exponential form is:

50224 = 2⁴ × 43¹ × 73¹

Step-2: Prime Factorization of 50235

Prime factors of 50235 are 3, 5, 17, 197. Prime factorization of 50235 in exponential form is:

50235 = 3¹ × 5¹ × 17¹ × 197¹

Step-3: Factors of 50224

List of positive integer factors of 50224 that divides 50224 without a remainder.

1, 2, 4, 8, 16, 43, 73, 86, 146, 172, 292, 344, 584, 688, 1168, 3139, 6278, 12556, 25112

Step-4: Factors of 50235

List of positive integer factors of 50235 that divides 50224 without a remainder.

1, 3, 5, 15, 17, 51, 85, 197, 255, 591, 985, 2955, 3349, 10047, 16745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50224 and 50235. The biggest common factor number is the GCF number.
So the greatest common factor 50224 and 50235 is 1.

Also check out the Least Common Multiple of 50224 and 50235