What is the Greatest Common Factor of 27948 and 27965?

Greatest common factor (GCF) of 27948 and 27965 is 17.

GCF(27948,27965) = 17

We will now calculate the prime factors of 27948 and 27965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27948 and 27965.

How to find the GCF of 27948 and 27965?

We will first find the prime factorization of 27948 and 27965. After we will calculate the factors of 27948 and 27965 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 27965

Prime factors of 27965 are 5, 7, 17, 47. Prime factorization of 27965 in exponential form is:

27965 = 5¹ × 7¹ × 17¹ × 47¹

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 27965

List of positive integer factors of 27965 that divides 27948 without a remainder.

1, 5, 7, 17, 35, 47, 85, 119, 235, 329, 595, 799, 1645, 3995, 5593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27948 and 27965. The biggest common factor number is the GCF number.
So the greatest common factor 27948 and 27965 is 17.

Also check out the Least Common Multiple of 27948 and 27965