What is the Greatest Common Factor of 68849 and 68860?

Greatest common factor (GCF) of 68849 and 68860 is 11.

GCF(68849,68860) = 11

We will now calculate the prime factors of 68849 and 68860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68849 and 68860.

How to find the GCF of 68849 and 68860?

We will first find the prime factorization of 68849 and 68860. After we will calculate the factors of 68849 and 68860 and find the biggest common factor number .

Step-1: Prime Factorization of 68849

Prime factors of 68849 are 11, 569. Prime factorization of 68849 in exponential form is:

68849 = 11² × 569¹

Step-2: Prime Factorization of 68860

Prime factors of 68860 are 2, 5, 11, 313. Prime factorization of 68860 in exponential form is:

68860 = 2² × 5¹ × 11¹ × 313¹

Step-3: Factors of 68849

List of positive integer factors of 68849 that divides 68849 without a remainder.

1, 11, 121, 569, 6259

Step-4: Factors of 68860

List of positive integer factors of 68860 that divides 68849 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 313, 626, 1252, 1565, 3130, 3443, 6260, 6886, 13772, 17215, 34430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68849 and 68860. The biggest common factor number is the GCF number.
So the greatest common factor 68849 and 68860 is 11.

Also check out the Least Common Multiple of 68849 and 68860