What is the Greatest Common Factor of 59364 and 59370?

Greatest common factor (GCF) of 59364 and 59370 is 6.

GCF(59364,59370) = 6

We will now calculate the prime factors of 59364 and 59370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59364 and 59370.

How to find the GCF of 59364 and 59370?

We will first find the prime factorization of 59364 and 59370. After we will calculate the factors of 59364 and 59370 and find the biggest common factor number .

Step-1: Prime Factorization of 59364

Prime factors of 59364 are 2, 3, 17, 97. Prime factorization of 59364 in exponential form is:

59364 = 2² × 3² × 17¹ × 97¹

Step-2: Prime Factorization of 59370

Prime factors of 59370 are 2, 3, 5, 1979. Prime factorization of 59370 in exponential form is:

59370 = 2¹ × 3¹ × 5¹ × 1979¹

Step-3: Factors of 59364

List of positive integer factors of 59364 that divides 59364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 97, 102, 153, 194, 204, 291, 306, 388, 582, 612, 873, 1164, 1649, 1746, 3298, 3492, 4947, 6596, 9894, 14841, 19788, 29682

Step-4: Factors of 59370

List of positive integer factors of 59370 that divides 59364 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1979, 3958, 5937, 9895, 11874, 19790, 29685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59364 and 59370. The biggest common factor number is the GCF number.
So the greatest common factor 59364 and 59370 is 6.

Also check out the Least Common Multiple of 59364 and 59370