What is the Greatest Common Factor of 88726 and 88737?

Greatest common factor (GCF) of 88726 and 88737 is 11.

GCF(88726,88737) = 11

We will now calculate the prime factors of 88726 and 88737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88726 and 88737.

How to find the GCF of 88726 and 88737?

We will first find the prime factorization of 88726 and 88737. After we will calculate the factors of 88726 and 88737 and find the biggest common factor number .

Step-1: Prime Factorization of 88726

Prime factors of 88726 are 2, 11, 37, 109. Prime factorization of 88726 in exponential form is:

88726 = 2¹ × 11¹ × 37¹ × 109¹

Step-2: 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-3: Factors of 88726

List of positive integer factors of 88726 that divides 88726 without a remainder.

1, 2, 11, 22, 37, 74, 109, 218, 407, 814, 1199, 2398, 4033, 8066, 44363

Step-4: Factors of 88737

List of positive integer factors of 88737 that divides 88726 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88726 and 88737. The biggest common factor number is the GCF number.
So the greatest common factor 88726 and 88737 is 11.

Also check out the Least Common Multiple of 88726 and 88737