What is the Greatest Common Factor of 88284 and 88300?

Greatest common factor (GCF) of 88284 and 88300 is 4.

GCF(88284,88300) = 4

We will now calculate the prime factors of 88284 and 88300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88284 and 88300.

How to find the GCF of 88284 and 88300?

We will first find the prime factorization of 88284 and 88300. After we will calculate the factors of 88284 and 88300 and find the biggest common factor number .

Step-1: Prime Factorization of 88284

Prime factors of 88284 are 2, 3, 7, 1051. Prime factorization of 88284 in exponential form is:

88284 = 2² × 3¹ × 7¹ × 1051¹

Step-2: Prime Factorization of 88300

Prime factors of 88300 are 2, 5, 883. Prime factorization of 88300 in exponential form is:

88300 = 2² × 5² × 883¹

Step-3: Factors of 88284

List of positive integer factors of 88284 that divides 88284 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1051, 2102, 3153, 4204, 6306, 7357, 12612, 14714, 22071, 29428, 44142

Step-4: Factors of 88300

List of positive integer factors of 88300 that divides 88284 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 883, 1766, 3532, 4415, 8830, 17660, 22075, 44150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88284 and 88300. The biggest common factor number is the GCF number.
So the greatest common factor 88284 and 88300 is 4.

Also check out the Least Common Multiple of 88284 and 88300