What is the Greatest Common Factor of 60379 and 60390?

Greatest common factor (GCF) of 60379 and 60390 is 11.

GCF(60379,60390) = 11

We will now calculate the prime factors of 60379 and 60390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60379 and 60390.

How to find the GCF of 60379 and 60390?

We will first find the prime factorization of 60379 and 60390. After we will calculate the factors of 60379 and 60390 and find the biggest common factor number .

Step-1: Prime Factorization of 60379

Prime factors of 60379 are 11, 499. Prime factorization of 60379 in exponential form is:

60379 = 11² × 499¹

Step-2: Prime Factorization of 60390

Prime factors of 60390 are 2, 3, 5, 11, 61. Prime factorization of 60390 in exponential form is:

60390 = 2¹ × 3² × 5¹ × 11¹ × 61¹

Step-3: Factors of 60379

List of positive integer factors of 60379 that divides 60379 without a remainder.

1, 11, 121, 499, 5489

Step-4: Factors of 60390

List of positive integer factors of 60390 that divides 60379 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 61, 66, 90, 99, 110, 122, 165, 183, 198, 305, 330, 366, 495, 549, 610, 671, 915, 990, 1098, 1342, 1830, 2013, 2745, 3355, 4026, 5490, 6039, 6710, 10065, 12078, 20130, 30195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60379 and 60390. The biggest common factor number is the GCF number.
So the greatest common factor 60379 and 60390 is 11.

Also check out the Least Common Multiple of 60379 and 60390