What is the Greatest Common Factor of 50464 and 50470?

Greatest common factor (GCF) of 50464 and 50470 is 2.

GCF(50464,50470) = 2

We will now calculate the prime factors of 50464 and 50470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50464 and 50470.

How to find the GCF of 50464 and 50470?

We will first find the prime factorization of 50464 and 50470. After we will calculate the factors of 50464 and 50470 and find the biggest common factor number .

Step-1: Prime Factorization of 50464

Prime factors of 50464 are 2, 19, 83. Prime factorization of 50464 in exponential form is:

50464 = 2⁵ × 19¹ × 83¹

Step-2: Prime Factorization of 50470

Prime factors of 50470 are 2, 5, 7, 103. Prime factorization of 50470 in exponential form is:

50470 = 2¹ × 5¹ × 7² × 103¹

Step-3: Factors of 50464

List of positive integer factors of 50464 that divides 50464 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 83, 152, 166, 304, 332, 608, 664, 1328, 1577, 2656, 3154, 6308, 12616, 25232

Step-4: Factors of 50470

List of positive integer factors of 50470 that divides 50464 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 103, 206, 245, 490, 515, 721, 1030, 1442, 3605, 5047, 7210, 10094, 25235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50464 and 50470. The biggest common factor number is the GCF number.
So the greatest common factor 50464 and 50470 is 2.

Also check out the Least Common Multiple of 50464 and 50470