What is the Greatest Common Factor of 60378 and 60392?

Greatest common factor (GCF) of 60378 and 60392 is 2.

GCF(60378,60392) = 2

We will now calculate the prime factors of 60378 and 60392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60378 and 60392.

How to find the GCF of 60378 and 60392?

We will first find the prime factorization of 60378 and 60392. After we will calculate the factors of 60378 and 60392 and find the biggest common factor number .

Step-1: Prime Factorization of 60378

Prime factors of 60378 are 2, 3, 29, 347. Prime factorization of 60378 in exponential form is:

60378 = 2¹ × 3¹ × 29¹ × 347¹

Step-2: Prime Factorization of 60392

Prime factors of 60392 are 2, 7549. Prime factorization of 60392 in exponential form is:

60392 = 2³ × 7549¹

Step-3: Factors of 60378

List of positive integer factors of 60378 that divides 60378 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 347, 694, 1041, 2082, 10063, 20126, 30189

Step-4: Factors of 60392

List of positive integer factors of 60392 that divides 60378 without a remainder.

1, 2, 4, 8, 7549, 15098, 30196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60378 and 60392. The biggest common factor number is the GCF number.
So the greatest common factor 60378 and 60392 is 2.

Also check out the Least Common Multiple of 60378 and 60392