What is the Greatest Common Factor of 34020 and 34028?

Greatest common factor (GCF) of 34020 and 34028 is 4.

GCF(34020,34028) = 4

We will now calculate the prime factors of 34020 and 34028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34020 and 34028.

How to find the GCF of 34020 and 34028?

We will first find the prime factorization of 34020 and 34028. After we will calculate the factors of 34020 and 34028 and find the biggest common factor number .

Step-1: Prime Factorization of 34020

Prime factors of 34020 are 2, 3, 5, 7. Prime factorization of 34020 in exponential form is:

34020 = 2² × 3⁵ × 5¹ × 7¹

Step-2: Prime Factorization of 34028

Prime factors of 34028 are 2, 47, 181. Prime factorization of 34028 in exponential form is:

34028 = 2² × 47¹ × 181¹

Step-3: Factors of 34020

List of positive integer factors of 34020 that divides 34020 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 81, 84, 90, 105, 108, 126, 135, 140, 162, 180, 189, 210, 243, 252, 270, 315, 324, 378, 405, 420, 486, 540, 567, 630, 756, 810, 945, 972, 1134, 1215, 1260, 1620, 1701, 1890, 2268, 2430, 2835, 3402, 3780, 4860, 5670, 6804, 8505, 11340, 17010

Step-4: Factors of 34028

List of positive integer factors of 34028 that divides 34020 without a remainder.

1, 2, 4, 47, 94, 181, 188, 362, 724, 8507, 17014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34020 and 34028. The biggest common factor number is the GCF number.
So the greatest common factor 34020 and 34028 is 4.

Also check out the Least Common Multiple of 34020 and 34028