What is the Greatest Common Factor of 88737 and 88748?

Greatest common factor (GCF) of 88737 and 88748 is 11.

GCF(88737,88748) = 11

We will now calculate the prime factors of 88737 and 88748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88737 and 88748.

How to find the GCF of 88737 and 88748?

We will first find the prime factorization of 88737 and 88748. After we will calculate the factors of 88737 and 88748 and find the biggest common factor number .

Step-1: Prime Factorization of 88737

Prime factors of 88737 are 3, 11, 2689. Prime factorization of 88737 in exponential form is:

88737 = 3¹ × 11¹ × 2689¹

Step-2: Prime Factorization of 88748

Prime factors of 88748 are 2, 11, 2017. Prime factorization of 88748 in exponential form is:

88748 = 2² × 11¹ × 2017¹

Step-3: Factors of 88737

List of positive integer factors of 88737 that divides 88737 without a remainder.

1, 3, 11, 33, 2689, 8067, 29579

Step-4: Factors of 88748

List of positive integer factors of 88748 that divides 88737 without a remainder.

1, 2, 4, 11, 22, 44, 2017, 4034, 8068, 22187, 44374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88737 and 88748. The biggest common factor number is the GCF number.
So the greatest common factor 88737 and 88748 is 11.

Also check out the Least Common Multiple of 88737 and 88748