What is the Greatest Common Factor of 50106 and 50120?

Greatest common factor (GCF) of 50106 and 50120 is 14.

GCF(50106,50120) = 14

We will now calculate the prime factors of 50106 and 50120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50106 and 50120.

How to find the GCF of 50106 and 50120?

We will first find the prime factorization of 50106 and 50120. After we will calculate the factors of 50106 and 50120 and find the biggest common factor number .

Step-1: Prime Factorization of 50106

Prime factors of 50106 are 2, 3, 7, 1193. Prime factorization of 50106 in exponential form is:

50106 = 2¹ × 3¹ × 7¹ × 1193¹

Step-2: Prime Factorization of 50120

Prime factors of 50120 are 2, 5, 7, 179. Prime factorization of 50120 in exponential form is:

50120 = 2³ × 5¹ × 7¹ × 179¹

Step-3: Factors of 50106

List of positive integer factors of 50106 that divides 50106 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1193, 2386, 3579, 7158, 8351, 16702, 25053

Step-4: Factors of 50120

List of positive integer factors of 50120 that divides 50106 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 179, 280, 358, 716, 895, 1253, 1432, 1790, 2506, 3580, 5012, 6265, 7160, 10024, 12530, 25060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50106 and 50120. The biggest common factor number is the GCF number.
So the greatest common factor 50106 and 50120 is 14.

Also check out the Least Common Multiple of 50106 and 50120