What is the Greatest Common Factor of 60858 and 60865?

Greatest common factor (GCF) of 60858 and 60865 is 7.

GCF(60858,60865) = 7

We will now calculate the prime factors of 60858 and 60865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60858 and 60865.

How to find the GCF of 60858 and 60865?

We will first find the prime factorization of 60858 and 60865. After we will calculate the factors of 60858 and 60865 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 60865

Prime factors of 60865 are 5, 7, 37, 47. Prime factorization of 60865 in exponential form is:

60865 = 5¹ × 7¹ × 37¹ × 47¹

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 60865

List of positive integer factors of 60865 that divides 60858 without a remainder.

1, 5, 7, 35, 37, 47, 185, 235, 259, 329, 1295, 1645, 1739, 8695, 12173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60858 and 60865. The biggest common factor number is the GCF number.
So the greatest common factor 60858 and 60865 is 7.

Also check out the Least Common Multiple of 60858 and 60865