What is the Greatest Common Factor of 70032 and 70042?

Greatest common factor (GCF) of 70032 and 70042 is 2.

GCF(70032,70042) = 2

We will now calculate the prime factors of 70032 and 70042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70032 and 70042.

How to find the GCF of 70032 and 70042?

We will first find the prime factorization of 70032 and 70042. After we will calculate the factors of 70032 and 70042 and find the biggest common factor number .

Step-1: Prime Factorization of 70032

Prime factors of 70032 are 2, 3, 1459. Prime factorization of 70032 in exponential form is:

70032 = 2⁴ × 3¹ × 1459¹

Step-2: Prime Factorization of 70042

Prime factors of 70042 are 2, 7, 5003. Prime factorization of 70042 in exponential form is:

70042 = 2¹ × 7¹ × 5003¹

Step-3: Factors of 70032

List of positive integer factors of 70032 that divides 70032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1459, 2918, 4377, 5836, 8754, 11672, 17508, 23344, 35016

Step-4: Factors of 70042

List of positive integer factors of 70042 that divides 70032 without a remainder.

1, 2, 7, 14, 5003, 10006, 35021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70032 and 70042. The biggest common factor number is the GCF number.
So the greatest common factor 70032 and 70042 is 2.

Also check out the Least Common Multiple of 70032 and 70042