What is the Greatest Common Factor of 60858 and 60876?

Greatest common factor (GCF) of 60858 and 60876 is 18.

GCF(60858,60876) = 18

We will now calculate the prime factors of 60858 and 60876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60858 and 60876.

How to find the GCF of 60858 and 60876?

We will first find the prime factorization of 60858 and 60876. After we will calculate the factors of 60858 and 60876 and find the biggest common factor number .

Step-1: Prime Factorization of 60858

Prime factors of 60858 are 2, 3, 7, 23. Prime factorization of 60858 in exponential form is:

60858 = 2¹ × 3³ × 7² × 23¹

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 60858

List of positive integer factors of 60858 that divides 60858 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 49, 54, 63, 69, 98, 126, 138, 147, 161, 189, 207, 294, 322, 378, 414, 441, 483, 621, 882, 966, 1127, 1242, 1323, 1449, 2254, 2646, 2898, 3381, 4347, 6762, 8694, 10143, 20286, 30429

Step-4: Factors of 60876

List of positive integer factors of 60876 that divides 60858 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 60858 and 60876. The biggest common factor number is the GCF number.
So the greatest common factor 60858 and 60876 is 18.

Also check out the Least Common Multiple of 60858 and 60876