What is the Greatest Common Factor of 88726 and 88736?

Greatest common factor (GCF) of 88726 and 88736 is 2.

GCF(88726,88736) = 2

We will now calculate the prime factors of 88726 and 88736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88726 and 88736.

How to find the GCF of 88726 and 88736?

We will first find the prime factorization of 88726 and 88736. After we will calculate the factors of 88726 and 88736 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 88736

Prime factors of 88736 are 2, 47, 59. Prime factorization of 88736 in exponential form is:

88736 = 2⁵ × 47¹ × 59¹

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 88736

List of positive integer factors of 88736 that divides 88726 without a remainder.

1, 2, 4, 8, 16, 32, 47, 59, 94, 118, 188, 236, 376, 472, 752, 944, 1504, 1888, 2773, 5546, 11092, 22184, 44368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88726 and 88736. The biggest common factor number is the GCF number.
So the greatest common factor 88726 and 88736 is 2.

Also check out the Least Common Multiple of 88726 and 88736