What is the Greatest Common Factor of 70020 and 70033?

Greatest common factor (GCF) of 70020 and 70033 is 1.

GCF(70020,70033) = 1

We will now calculate the prime factors of 70020 and 70033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70020 and 70033.

How to find the GCF of 70020 and 70033?

We will first find the prime factorization of 70020 and 70033. After we will calculate the factors of 70020 and 70033 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 70033

Prime factors of 70033 are 59, 1187. Prime factorization of 70033 in exponential form is:

70033 = 59¹ × 1187¹

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 70033

List of positive integer factors of 70033 that divides 70020 without a remainder.

1, 59, 1187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70020 and 70033. The biggest common factor number is the GCF number.
So the greatest common factor 70020 and 70033 is 1.

Also check out the Least Common Multiple of 70020 and 70033