What is the Greatest Common Factor of 50362 and 50368?

Greatest common factor (GCF) of 50362 and 50368 is 2.

GCF(50362,50368) = 2

We will now calculate the prime factors of 50362 and 50368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50362 and 50368.

How to find the GCF of 50362 and 50368?

We will first find the prime factorization of 50362 and 50368. After we will calculate the factors of 50362 and 50368 and find the biggest common factor number .

Step-1: Prime Factorization of 50362

Prime factors of 50362 are 2, 13, 149. Prime factorization of 50362 in exponential form is:

50362 = 2¹ × 13² × 149¹

Step-2: Prime Factorization of 50368

Prime factors of 50368 are 2, 787. Prime factorization of 50368 in exponential form is:

50368 = 2⁶ × 787¹

Step-3: Factors of 50362

List of positive integer factors of 50362 that divides 50362 without a remainder.

1, 2, 13, 26, 149, 169, 298, 338, 1937, 3874, 25181

Step-4: Factors of 50368

List of positive integer factors of 50368 that divides 50362 without a remainder.

1, 2, 4, 8, 16, 32, 64, 787, 1574, 3148, 6296, 12592, 25184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50362 and 50368. The biggest common factor number is the GCF number.
So the greatest common factor 50362 and 50368 is 2.

Also check out the Least Common Multiple of 50362 and 50368