What is the Greatest Common Factor of 50464 and 50480?

Greatest common factor (GCF) of 50464 and 50480 is 16.

GCF(50464,50480) = 16

We will now calculate the prime factors of 50464 and 50480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50464 and 50480.

How to find the GCF of 50464 and 50480?

We will first find the prime factorization of 50464 and 50480. After we will calculate the factors of 50464 and 50480 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 50480

Prime factors of 50480 are 2, 5, 631. Prime factorization of 50480 in exponential form is:

50480 = 2⁴ × 5¹ × 631¹

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 50480

List of positive integer factors of 50480 that divides 50464 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 631, 1262, 2524, 3155, 5048, 6310, 10096, 12620, 25240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50464 and 50480. The biggest common factor number is the GCF number.
So the greatest common factor 50464 and 50480 is 16.

Also check out the Least Common Multiple of 50464 and 50480