What is the Greatest Common Factor of 70020 and 70038?

Greatest common factor (GCF) of 70020 and 70038 is 18.

GCF(70020,70038) = 18

We will now calculate the prime factors of 70020 and 70038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70020 and 70038.

How to find the GCF of 70020 and 70038?

We will first find the prime factorization of 70020 and 70038. After we will calculate the factors of 70020 and 70038 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 70038

Prime factors of 70038 are 2, 3, 1297. Prime factorization of 70038 in exponential form is:

70038 = 2¹ × 3³ × 1297¹

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 70038

List of positive integer factors of 70038 that divides 70020 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1297, 2594, 3891, 7782, 11673, 23346, 35019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70020 and 70038. The biggest common factor number is the GCF number.
So the greatest common factor 70020 and 70038 is 18.

Also check out the Least Common Multiple of 70020 and 70038