What is the Greatest Common Factor of 60042 and 60053?

Greatest common factor (GCF) of 60042 and 60053 is 1.

GCF(60042,60053) = 1

We will now calculate the prime factors of 60042 and 60053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60042 and 60053.

How to find the GCF of 60042 and 60053?

We will first find the prime factorization of 60042 and 60053. After we will calculate the factors of 60042 and 60053 and find the biggest common factor number .

Step-1: Prime Factorization of 60042

Prime factors of 60042 are 2, 3, 10007. Prime factorization of 60042 in exponential form is:

60042 = 2¹ × 3¹ × 10007¹

Step-2: Prime Factorization of 60053

Prime factors of 60053 are 7, 23, 373. Prime factorization of 60053 in exponential form is:

60053 = 7¹ × 23¹ × 373¹

Step-3: Factors of 60042

List of positive integer factors of 60042 that divides 60042 without a remainder.

1, 2, 3, 6, 10007, 20014, 30021

Step-4: Factors of 60053

List of positive integer factors of 60053 that divides 60042 without a remainder.

1, 7, 23, 161, 373, 2611, 8579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60042 and 60053. The biggest common factor number is the GCF number.
So the greatest common factor 60042 and 60053 is 1.

Also check out the Least Common Multiple of 60042 and 60053