What is the Greatest Common Factor of 70020 and 70032?

Greatest common factor (GCF) of 70020 and 70032 is 12.

GCF(70020,70032) = 12

We will now calculate the prime factors of 70020 and 70032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70020 and 70032.

How to find the GCF of 70020 and 70032?

We will first find the prime factorization of 70020 and 70032. After we will calculate the factors of 70020 and 70032 and find the biggest common factor number .

Step-1: Prime Factorization of 70020

Prime factors of 70020 are 2, 3, 5, 389. Prime factorization of 70020 in exponential form is:

70020 = 2² × 3² × 5¹ × 389¹

Step-2: 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-3: Factors of 70020

List of positive integer factors of 70020 that divides 70020 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 389, 778, 1167, 1556, 1945, 2334, 3501, 3890, 4668, 5835, 7002, 7780, 11670, 14004, 17505, 23340, 35010

Step-4: Factors of 70032

List of positive integer factors of 70032 that divides 70020 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70020 and 70032. The biggest common factor number is the GCF number.
So the greatest common factor 70020 and 70032 is 12.

Also check out the Least Common Multiple of 70020 and 70032