What is the Greatest Common Factor of 21080 and 21097?

Greatest common factor (GCF) of 21080 and 21097 is 17.

GCF(21080,21097) = 17

We will now calculate the prime factors of 21080 and 21097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21080 and 21097.

How to find the GCF of 21080 and 21097?

We will first find the prime factorization of 21080 and 21097. After we will calculate the factors of 21080 and 21097 and find the biggest common factor number .

Step-1: Prime Factorization of 21080

Prime factors of 21080 are 2, 5, 17, 31. Prime factorization of 21080 in exponential form is:

21080 = 2³ × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 21097

Prime factors of 21097 are 17, 73. Prime factorization of 21097 in exponential form is:

21097 = 17² × 73¹

Step-3: Factors of 21080

List of positive integer factors of 21080 that divides 21080 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 31, 34, 40, 62, 68, 85, 124, 136, 155, 170, 248, 310, 340, 527, 620, 680, 1054, 1240, 2108, 2635, 4216, 5270, 10540

Step-4: Factors of 21097

List of positive integer factors of 21097 that divides 21080 without a remainder.

1, 17, 73, 289, 1241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21080 and 21097. The biggest common factor number is the GCF number.
So the greatest common factor 21080 and 21097 is 17.

Also check out the Least Common Multiple of 21080 and 21097