What is the Greatest Common Factor of 50112 and 50130?

Greatest common factor (GCF) of 50112 and 50130 is 18.

GCF(50112,50130) = 18

We will now calculate the prime factors of 50112 and 50130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50112 and 50130.

How to find the GCF of 50112 and 50130?

We will first find the prime factorization of 50112 and 50130. After we will calculate the factors of 50112 and 50130 and find the biggest common factor number .

Step-1: Prime Factorization of 50112

Prime factors of 50112 are 2, 3, 29. Prime factorization of 50112 in exponential form is:

50112 = 2⁶ × 3³ × 29¹

Step-2: Prime Factorization of 50130

Prime factors of 50130 are 2, 3, 5, 557. Prime factorization of 50130 in exponential form is:

50130 = 2¹ × 3² × 5¹ × 557¹

Step-3: Factors of 50112

List of positive integer factors of 50112 that divides 50112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 32, 36, 48, 54, 58, 64, 72, 87, 96, 108, 116, 144, 174, 192, 216, 232, 261, 288, 348, 432, 464, 522, 576, 696, 783, 864, 928, 1044, 1392, 1566, 1728, 1856, 2088, 2784, 3132, 4176, 5568, 6264, 8352, 12528, 16704, 25056

Step-4: Factors of 50130

List of positive integer factors of 50130 that divides 50112 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 557, 1114, 1671, 2785, 3342, 5013, 5570, 8355, 10026, 16710, 25065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50112 and 50130. The biggest common factor number is the GCF number.
So the greatest common factor 50112 and 50130 is 18.

Also check out the Least Common Multiple of 50112 and 50130