What is the Greatest Common Factor of 60876 and 60882?

Greatest common factor (GCF) of 60876 and 60882 is 6.

GCF(60876,60882) = 6

We will now calculate the prime factors of 60876 and 60882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60876 and 60882.

How to find the GCF of 60876 and 60882?

We will first find the prime factorization of 60876 and 60882. After we will calculate the factors of 60876 and 60882 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60882

Prime factors of 60882 are 2, 3, 73, 139. Prime factorization of 60882 in exponential form is:

60882 = 2¹ × 3¹ × 73¹ × 139¹

Step-3: Factors of 60876

List of positive integer factors of 60876 that divides 60876 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

Step-4: Factors of 60882

List of positive integer factors of 60882 that divides 60876 without a remainder.

1, 2, 3, 6, 73, 139, 146, 219, 278, 417, 438, 834, 10147, 20294, 30441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60876 and 60882. The biggest common factor number is the GCF number.
So the greatest common factor 60876 and 60882 is 6.

Also check out the Least Common Multiple of 60876 and 60882