What is the Greatest Common Factor of 60849 and 60853?

Greatest common factor (GCF) of 60849 and 60853 is 1.

GCF(60849,60853) = 1

We will now calculate the prime factors of 60849 and 60853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60849 and 60853.

How to find the GCF of 60849 and 60853?

We will first find the prime factorization of 60849 and 60853. After we will calculate the factors of 60849 and 60853 and find the biggest common factor number .

Step-1: Prime Factorization of 60849

Prime factors of 60849 are 3, 6761. Prime factorization of 60849 in exponential form is:

60849 = 3² × 6761¹

Step-2: Prime Factorization of 60853

Prime factors of 60853 are 13, 31, 151. Prime factorization of 60853 in exponential form is:

60853 = 13¹ × 31¹ × 151¹

Step-3: Factors of 60849

List of positive integer factors of 60849 that divides 60849 without a remainder.

1, 3, 9, 6761, 20283

Step-4: Factors of 60853

List of positive integer factors of 60853 that divides 60849 without a remainder.

1, 13, 31, 151, 403, 1963, 4681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60849 and 60853. The biggest common factor number is the GCF number.
So the greatest common factor 60849 and 60853 is 1.

Also check out the Least Common Multiple of 60849 and 60853