What is the Greatest Common Factor of 88947 and 88953?

Greatest common factor (GCF) of 88947 and 88953 is 3.

GCF(88947,88953) = 3

We will now calculate the prime factors of 88947 and 88953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88947 and 88953.

How to find the GCF of 88947 and 88953?

We will first find the prime factorization of 88947 and 88953. After we will calculate the factors of 88947 and 88953 and find the biggest common factor number .

Step-1: Prime Factorization of 88947

Prime factors of 88947 are 3, 9883. Prime factorization of 88947 in exponential form is:

88947 = 3² × 9883¹

Step-2: Prime Factorization of 88953

Prime factors of 88953 are 3, 149, 199. Prime factorization of 88953 in exponential form is:

88953 = 3¹ × 149¹ × 199¹

Step-3: Factors of 88947

List of positive integer factors of 88947 that divides 88947 without a remainder.

1, 3, 9, 9883, 29649

Step-4: Factors of 88953

List of positive integer factors of 88953 that divides 88947 without a remainder.

1, 3, 149, 199, 447, 597, 29651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88947 and 88953. The biggest common factor number is the GCF number.
So the greatest common factor 88947 and 88953 is 3.

Also check out the Least Common Multiple of 88947 and 88953