What is the Greatest Common Factor of 60857 and 60876?

Greatest common factor (GCF) of 60857 and 60876 is 19.

GCF(60857,60876) = 19

We will now calculate the prime factors of 60857 and 60876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60857 and 60876.

How to find the GCF of 60857 and 60876?

We will first find the prime factorization of 60857 and 60876. After we will calculate the factors of 60857 and 60876 and find the biggest common factor number .

Step-1: Prime Factorization of 60857

Prime factors of 60857 are 19, 3203. Prime factorization of 60857 in exponential form is:

60857 = 19¹ × 3203¹

Step-2: Prime Factorization of 60876

Prime factors of 60876 are 2, 3, 19, 89. Prime factorization of 60876 in exponential form is:

60876 = 2² × 3² × 19¹ × 89¹

Step-3: Factors of 60857

List of positive integer factors of 60857 that divides 60857 without a remainder.

1, 19, 3203

Step-4: Factors of 60876

List of positive integer factors of 60876 that divides 60857 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 89, 114, 171, 178, 228, 267, 342, 356, 534, 684, 801, 1068, 1602, 1691, 3204, 3382, 5073, 6764, 10146, 15219, 20292, 30438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60857 and 60876. The biggest common factor number is the GCF number.
So the greatest common factor 60857 and 60876 is 19.

Also check out the Least Common Multiple of 60857 and 60876