What is the Greatest Common Factor of 50148 and 50162?

Greatest common factor (GCF) of 50148 and 50162 is 14.

GCF(50148,50162) = 14

We will now calculate the prime factors of 50148 and 50162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50148 and 50162.

How to find the GCF of 50148 and 50162?

We will first find the prime factorization of 50148 and 50162. After we will calculate the factors of 50148 and 50162 and find the biggest common factor number .

Step-1: Prime Factorization of 50148

Prime factors of 50148 are 2, 3, 7, 199. Prime factorization of 50148 in exponential form is:

50148 = 2² × 3² × 7¹ × 199¹

Step-2: Prime Factorization of 50162

Prime factors of 50162 are 2, 7, 3583. Prime factorization of 50162 in exponential form is:

50162 = 2¹ × 7¹ × 3583¹

Step-3: Factors of 50148

List of positive integer factors of 50148 that divides 50148 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 199, 252, 398, 597, 796, 1194, 1393, 1791, 2388, 2786, 3582, 4179, 5572, 7164, 8358, 12537, 16716, 25074

Step-4: Factors of 50162

List of positive integer factors of 50162 that divides 50148 without a remainder.

1, 2, 7, 14, 3583, 7166, 25081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50148 and 50162. The biggest common factor number is the GCF number.
So the greatest common factor 50148 and 50162 is 14.

Also check out the Least Common Multiple of 50148 and 50162