What is the Greatest Common Factor of 50442 and 50456?

Greatest common factor (GCF) of 50442 and 50456 is 14.

GCF(50442,50456) = 14

We will now calculate the prime factors of 50442 and 50456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50442 and 50456.

How to find the GCF of 50442 and 50456?

We will first find the prime factorization of 50442 and 50456. After we will calculate the factors of 50442 and 50456 and find the biggest common factor number .

Step-1: Prime Factorization of 50442

Prime factors of 50442 are 2, 3, 7, 1201. Prime factorization of 50442 in exponential form is:

50442 = 2¹ × 3¹ × 7¹ × 1201¹

Step-2: 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-3: Factors of 50442

List of positive integer factors of 50442 that divides 50442 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1201, 2402, 3603, 7206, 8407, 16814, 25221

Step-4: Factors of 50456

List of positive integer factors of 50456 that divides 50442 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50442 and 50456. The biggest common factor number is the GCF number.
So the greatest common factor 50442 and 50456 is 14.

Also check out the Least Common Multiple of 50442 and 50456