What is the Greatest Common Factor of 60034 and 60042?

Greatest common factor (GCF) of 60034 and 60042 is 2.

GCF(60034,60042) = 2

We will now calculate the prime factors of 60034 and 60042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60034 and 60042.

How to find the GCF of 60034 and 60042?

We will first find the prime factorization of 60034 and 60042. After we will calculate the factors of 60034 and 60042 and find the biggest common factor number .

Step-1: Prime Factorization of 60034

Prime factors of 60034 are 2, 13, 2309. Prime factorization of 60034 in exponential form is:

60034 = 2¹ × 13¹ × 2309¹

Step-2: 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-3: Factors of 60034

List of positive integer factors of 60034 that divides 60034 without a remainder.

1, 2, 13, 26, 2309, 4618, 30017

Step-4: Factors of 60042

List of positive integer factors of 60042 that divides 60034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60034 and 60042. The biggest common factor number is the GCF number.
So the greatest common factor 60034 and 60042 is 2.

Also check out the Least Common Multiple of 60034 and 60042