What is the Greatest Common Factor of 50048 and 50064?

Greatest common factor (GCF) of 50048 and 50064 is 16.

GCF(50048,50064) = 16

We will now calculate the prime factors of 50048 and 50064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50048 and 50064.

How to find the GCF of 50048 and 50064?

We will first find the prime factorization of 50048 and 50064. After we will calculate the factors of 50048 and 50064 and find the biggest common factor number .

Step-1: Prime Factorization of 50048

Prime factors of 50048 are 2, 17, 23. Prime factorization of 50048 in exponential form is:

50048 = 2⁷ × 17¹ × 23¹

Step-2: Prime Factorization of 50064

Prime factors of 50064 are 2, 3, 7, 149. Prime factorization of 50064 in exponential form is:

50064 = 2⁴ × 3¹ × 7¹ × 149¹

Step-3: Factors of 50048

List of positive integer factors of 50048 that divides 50048 without a remainder.

1, 2, 4, 8, 16, 17, 23, 32, 34, 46, 64, 68, 92, 128, 136, 184, 272, 368, 391, 544, 736, 782, 1088, 1472, 1564, 2176, 2944, 3128, 6256, 12512, 25024

Step-4: Factors of 50064

List of positive integer factors of 50064 that divides 50048 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 149, 168, 298, 336, 447, 596, 894, 1043, 1192, 1788, 2086, 2384, 3129, 3576, 4172, 6258, 7152, 8344, 12516, 16688, 25032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50048 and 50064. The biggest common factor number is the GCF number.
So the greatest common factor 50048 and 50064 is 16.

Also check out the Least Common Multiple of 50048 and 50064