What is the Greatest Common Factor of 27280 and 27292?

Greatest common factor (GCF) of 27280 and 27292 is 4.

GCF(27280,27292) = 4

We will now calculate the prime factors of 27280 and 27292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27280 and 27292.

How to find the GCF of 27280 and 27292?

We will first find the prime factorization of 27280 and 27292. After we will calculate the factors of 27280 and 27292 and find the biggest common factor number .

Step-1: Prime Factorization of 27280

Prime factors of 27280 are 2, 5, 11, 31. Prime factorization of 27280 in exponential form is:

27280 = 2⁴ × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 27292

Prime factors of 27292 are 2, 6823. Prime factorization of 27292 in exponential form is:

27292 = 2² × 6823¹

Step-3: Factors of 27280

List of positive integer factors of 27280 that divides 27280 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 40, 44, 55, 62, 80, 88, 110, 124, 155, 176, 220, 248, 310, 341, 440, 496, 620, 682, 880, 1240, 1364, 1705, 2480, 2728, 3410, 5456, 6820, 13640

Step-4: Factors of 27292

List of positive integer factors of 27292 that divides 27280 without a remainder.

1, 2, 4, 6823, 13646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27280 and 27292. The biggest common factor number is the GCF number.
So the greatest common factor 27280 and 27292 is 4.

Also check out the Least Common Multiple of 27280 and 27292