What is the Greatest Common Factor of 27942 and 27950?

Greatest common factor (GCF) of 27942 and 27950 is 2.

GCF(27942,27950) = 2

We will now calculate the prime factors of 27942 and 27950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27942 and 27950.

How to find the GCF of 27942 and 27950?

We will first find the prime factorization of 27942 and 27950. After we will calculate the factors of 27942 and 27950 and find the biggest common factor number .

Step-1: Prime Factorization of 27942

Prime factors of 27942 are 2, 3, 4657. Prime factorization of 27942 in exponential form is:

27942 = 2¹ × 3¹ × 4657¹

Step-2: Prime Factorization of 27950

Prime factors of 27950 are 2, 5, 13, 43. Prime factorization of 27950 in exponential form is:

27950 = 2¹ × 5² × 13¹ × 43¹

Step-3: Factors of 27942

List of positive integer factors of 27942 that divides 27942 without a remainder.

1, 2, 3, 6, 4657, 9314, 13971

Step-4: Factors of 27950

List of positive integer factors of 27950 that divides 27942 without a remainder.

1, 2, 5, 10, 13, 25, 26, 43, 50, 65, 86, 130, 215, 325, 430, 559, 650, 1075, 1118, 2150, 2795, 5590, 13975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27942 and 27950. The biggest common factor number is the GCF number.
So the greatest common factor 27942 and 27950 is 2.

Also check out the Least Common Multiple of 27942 and 27950