What is the Greatest Common Factor of 27948 and 27958?

Greatest common factor (GCF) of 27948 and 27958 is 2.

GCF(27948,27958) = 2

We will now calculate the prime factors of 27948 and 27958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27948 and 27958.

How to find the GCF of 27948 and 27958?

We will first find the prime factorization of 27948 and 27958. After we will calculate the factors of 27948 and 27958 and find the biggest common factor number .

Step-1: Prime Factorization of 27948

Prime factors of 27948 are 2, 3, 17, 137. Prime factorization of 27948 in exponential form is:

27948 = 2² × 3¹ × 17¹ × 137¹

Step-2: Prime Factorization of 27958

Prime factors of 27958 are 2, 7, 1997. Prime factorization of 27958 in exponential form is:

27958 = 2¹ × 7¹ × 1997¹

Step-3: Factors of 27948

List of positive integer factors of 27948 that divides 27948 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 137, 204, 274, 411, 548, 822, 1644, 2329, 4658, 6987, 9316, 13974

Step-4: Factors of 27958

List of positive integer factors of 27958 that divides 27948 without a remainder.

1, 2, 7, 14, 1997, 3994, 13979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27948 and 27958. The biggest common factor number is the GCF number.
So the greatest common factor 27948 and 27958 is 2.

Also check out the Least Common Multiple of 27948 and 27958