What is the Greatest Common Factor of 50456 and 50470?

Greatest common factor (GCF) of 50456 and 50470 is 14.

GCF(50456,50470) = 14

We will now calculate the prime factors of 50456 and 50470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50456 and 50470.

How to find the GCF of 50456 and 50470?

We will first find the prime factorization of 50456 and 50470. After we will calculate the factors of 50456 and 50470 and find the biggest common factor number .

Step-1: Prime Factorization of 50456

Prime factors of 50456 are 2, 7, 17, 53. Prime factorization of 50456 in exponential form is:

50456 = 2³ × 7¹ × 17¹ × 53¹

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 50456

List of positive integer factors of 50456 that divides 50456 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 53, 56, 68, 106, 119, 136, 212, 238, 371, 424, 476, 742, 901, 952, 1484, 1802, 2968, 3604, 6307, 7208, 12614, 25228

Step-4: Factors of 50470

List of positive integer factors of 50470 that divides 50456 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 50456 and 50470. The biggest common factor number is the GCF number.
So the greatest common factor 50456 and 50470 is 14.

Also check out the Least Common Multiple of 50456 and 50470