What is the Greatest Common Factor of 60052 and 60070?

Greatest common factor (GCF) of 60052 and 60070 is 2.

GCF(60052,60070) = 2

We will now calculate the prime factors of 60052 and 60070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60052 and 60070.

How to find the GCF of 60052 and 60070?

We will first find the prime factorization of 60052 and 60070. After we will calculate the factors of 60052 and 60070 and find the biggest common factor number .

Step-1: Prime Factorization of 60052

Prime factors of 60052 are 2, 15013. Prime factorization of 60052 in exponential form is:

60052 = 2² × 15013¹

Step-2: Prime Factorization of 60070

Prime factors of 60070 are 2, 5, 6007. Prime factorization of 60070 in exponential form is:

60070 = 2¹ × 5¹ × 6007¹

Step-3: Factors of 60052

List of positive integer factors of 60052 that divides 60052 without a remainder.

1, 2, 4, 15013, 30026

Step-4: Factors of 60070

List of positive integer factors of 60070 that divides 60052 without a remainder.

1, 2, 5, 10, 6007, 12014, 30035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60052 and 60070. The biggest common factor number is the GCF number.
So the greatest common factor 60052 and 60070 is 2.

Also check out the Least Common Multiple of 60052 and 60070