What is the Greatest Common Factor of 94020 and 94036?

Greatest common factor (GCF) of 94020 and 94036 is 4.

GCF(94020,94036) = 4

We will now calculate the prime factors of 94020 and 94036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94020 and 94036.

How to find the GCF of 94020 and 94036?

We will first find the prime factorization of 94020 and 94036. After we will calculate the factors of 94020 and 94036 and find the biggest common factor number .

Step-1: Prime Factorization of 94020

Prime factors of 94020 are 2, 3, 5, 1567. Prime factorization of 94020 in exponential form is:

94020 = 2² × 3¹ × 5¹ × 1567¹

Step-2: Prime Factorization of 94036

Prime factors of 94036 are 2, 23509. Prime factorization of 94036 in exponential form is:

94036 = 2² × 23509¹

Step-3: Factors of 94020

List of positive integer factors of 94020 that divides 94020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1567, 3134, 4701, 6268, 7835, 9402, 15670, 18804, 23505, 31340, 47010

Step-4: Factors of 94036

List of positive integer factors of 94036 that divides 94020 without a remainder.

1, 2, 4, 23509, 47018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94020 and 94036. The biggest common factor number is the GCF number.
So the greatest common factor 94020 and 94036 is 4.

Also check out the Least Common Multiple of 94020 and 94036