What is the Greatest Common Factor of 88020 and 88028?

Greatest common factor (GCF) of 88020 and 88028 is 4.

GCF(88020,88028) = 4

We will now calculate the prime factors of 88020 and 88028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88020 and 88028.

How to find the GCF of 88020 and 88028?

We will first find the prime factorization of 88020 and 88028. After we will calculate the factors of 88020 and 88028 and find the biggest common factor number .

Step-1: Prime Factorization of 88020

Prime factors of 88020 are 2, 3, 5, 163. Prime factorization of 88020 in exponential form is:

88020 = 2² × 3³ × 5¹ × 163¹

Step-2: Prime Factorization of 88028

Prime factors of 88028 are 2, 59, 373. Prime factorization of 88028 in exponential form is:

88028 = 2² × 59¹ × 373¹

Step-3: Factors of 88020

List of positive integer factors of 88020 that divides 88020 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 163, 180, 270, 326, 489, 540, 652, 815, 978, 1467, 1630, 1956, 2445, 2934, 3260, 4401, 4890, 5868, 7335, 8802, 9780, 14670, 17604, 22005, 29340, 44010

Step-4: Factors of 88028

List of positive integer factors of 88028 that divides 88020 without a remainder.

1, 2, 4, 59, 118, 236, 373, 746, 1492, 22007, 44014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88020 and 88028. The biggest common factor number is the GCF number.
So the greatest common factor 88020 and 88028 is 4.

Also check out the Least Common Multiple of 88020 and 88028