What is the Greatest Common Factor of 88548 and 88557?

Greatest common factor (GCF) of 88548 and 88557 is 3.

GCF(88548,88557) = 3

We will now calculate the prime factors of 88548 and 88557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88548 and 88557.

How to find the GCF of 88548 and 88557?

We will first find the prime factorization of 88548 and 88557. After we will calculate the factors of 88548 and 88557 and find the biggest common factor number .

Step-1: Prime Factorization of 88548

Prime factors of 88548 are 2, 3, 47, 157. Prime factorization of 88548 in exponential form is:

88548 = 2² × 3¹ × 47¹ × 157¹

Step-2: Prime Factorization of 88557

Prime factors of 88557 are 3, 7, 4217. Prime factorization of 88557 in exponential form is:

88557 = 3¹ × 7¹ × 4217¹

Step-3: Factors of 88548

List of positive integer factors of 88548 that divides 88548 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 157, 188, 282, 314, 471, 564, 628, 942, 1884, 7379, 14758, 22137, 29516, 44274

Step-4: Factors of 88557

List of positive integer factors of 88557 that divides 88548 without a remainder.

1, 3, 7, 21, 4217, 12651, 29519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88548 and 88557. The biggest common factor number is the GCF number.
So the greatest common factor 88548 and 88557 is 3.

Also check out the Least Common Multiple of 88548 and 88557