What is the Greatest Common Factor of 50688 and 50692?

Greatest common factor (GCF) of 50688 and 50692 is 4.

GCF(50688,50692) = 4

We will now calculate the prime factors of 50688 and 50692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50688 and 50692.

How to find the GCF of 50688 and 50692?

We will first find the prime factorization of 50688 and 50692. After we will calculate the factors of 50688 and 50692 and find the biggest common factor number .

Step-1: Prime Factorization of 50688

Prime factors of 50688 are 2, 3, 11. Prime factorization of 50688 in exponential form is:

50688 = 2⁹ × 3² × 11¹

Step-2: Prime Factorization of 50692

Prime factors of 50692 are 2, 19, 23, 29. Prime factorization of 50692 in exponential form is:

50692 = 2² × 19¹ × 23¹ × 29¹

Step-3: Factors of 50688

List of positive integer factors of 50688 that divides 50688 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 128, 132, 144, 176, 192, 198, 256, 264, 288, 352, 384, 396, 512, 528, 576, 704, 768, 792, 1056, 1152, 1408, 1536, 1584, 2112, 2304, 2816, 3168, 4224, 4608, 5632, 6336, 8448, 12672, 16896, 25344

Step-4: Factors of 50692

List of positive integer factors of 50692 that divides 50688 without a remainder.

1, 2, 4, 19, 23, 29, 38, 46, 58, 76, 92, 116, 437, 551, 667, 874, 1102, 1334, 1748, 2204, 2668, 12673, 25346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50688 and 50692. The biggest common factor number is the GCF number.
So the greatest common factor 50688 and 50692 is 4.

Also check out the Least Common Multiple of 50688 and 50692