What is the Greatest Common Factor of 27580 and 27590?

Greatest common factor (GCF) of 27580 and 27590 is 10.

GCF(27580,27590) = 10

We will now calculate the prime factors of 27580 and 27590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27580 and 27590.

How to find the GCF of 27580 and 27590?

We will first find the prime factorization of 27580 and 27590. After we will calculate the factors of 27580 and 27590 and find the biggest common factor number .

Step-1: Prime Factorization of 27580

Prime factors of 27580 are 2, 5, 7, 197. Prime factorization of 27580 in exponential form is:

27580 = 2² × 5¹ × 7¹ × 197¹

Step-2: Prime Factorization of 27590

Prime factors of 27590 are 2, 5, 31, 89. Prime factorization of 27590 in exponential form is:

27590 = 2¹ × 5¹ × 31¹ × 89¹

Step-3: Factors of 27580

List of positive integer factors of 27580 that divides 27580 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 197, 394, 788, 985, 1379, 1970, 2758, 3940, 5516, 6895, 13790

Step-4: Factors of 27590

List of positive integer factors of 27590 that divides 27580 without a remainder.

1, 2, 5, 10, 31, 62, 89, 155, 178, 310, 445, 890, 2759, 5518, 13795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27580 and 27590. The biggest common factor number is the GCF number.
So the greatest common factor 27580 and 27590 is 10.

Also check out the Least Common Multiple of 27580 and 27590