What is the Greatest Common Factor of 27572 and 27580?

Greatest common factor (GCF) of 27572 and 27580 is 4.

GCF(27572,27580) = 4

We will now calculate the prime factors of 27572 and 27580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27572 and 27580.

How to find the GCF of 27572 and 27580?

We will first find the prime factorization of 27572 and 27580. After we will calculate the factors of 27572 and 27580 and find the biggest common factor number .

Step-1: Prime Factorization of 27572

Prime factors of 27572 are 2, 61, 113. Prime factorization of 27572 in exponential form is:

27572 = 2² × 61¹ × 113¹

Step-2: 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-3: Factors of 27572

List of positive integer factors of 27572 that divides 27572 without a remainder.

1, 2, 4, 61, 113, 122, 226, 244, 452, 6893, 13786

Step-4: Factors of 27580

List of positive integer factors of 27580 that divides 27572 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27572 and 27580. The biggest common factor number is the GCF number.
So the greatest common factor 27572 and 27580 is 4.

Also check out the Least Common Multiple of 27572 and 27580