What is the Greatest Common Factor of 60380 and 60390?

Greatest common factor (GCF) of 60380 and 60390 is 10.

GCF(60380,60390) = 10

We will now calculate the prime factors of 60380 and 60390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60380 and 60390.

How to find the GCF of 60380 and 60390?

We will first find the prime factorization of 60380 and 60390. After we will calculate the factors of 60380 and 60390 and find the biggest common factor number .

Step-1: Prime Factorization of 60380

Prime factors of 60380 are 2, 5, 3019. Prime factorization of 60380 in exponential form is:

60380 = 2² × 5¹ × 3019¹

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 60380

List of positive integer factors of 60380 that divides 60380 without a remainder.

1, 2, 4, 5, 10, 20, 3019, 6038, 12076, 15095, 30190

Step-4: Factors of 60390

List of positive integer factors of 60390 that divides 60380 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 60380 and 60390. The biggest common factor number is the GCF number.
So the greatest common factor 60380 and 60390 is 10.

Also check out the Least Common Multiple of 60380 and 60390