What is the Greatest Common Factor of 88774 and 88791?

Greatest common factor (GCF) of 88774 and 88791 is 17.

GCF(88774,88791) = 17

We will now calculate the prime factors of 88774 and 88791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88774 and 88791.

How to find the GCF of 88774 and 88791?

We will first find the prime factorization of 88774 and 88791. After we will calculate the factors of 88774 and 88791 and find the biggest common factor number .

Step-1: Prime Factorization of 88774

Prime factors of 88774 are 2, 7, 17, 373. Prime factorization of 88774 in exponential form is:

88774 = 2¹ × 7¹ × 17¹ × 373¹

Step-2: Prime Factorization of 88791

Prime factors of 88791 are 3, 17, 1741. Prime factorization of 88791 in exponential form is:

88791 = 3¹ × 17¹ × 1741¹

Step-3: Factors of 88774

List of positive integer factors of 88774 that divides 88774 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 373, 746, 2611, 5222, 6341, 12682, 44387

Step-4: Factors of 88791

List of positive integer factors of 88791 that divides 88774 without a remainder.

1, 3, 17, 51, 1741, 5223, 29597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88774 and 88791. The biggest common factor number is the GCF number.
So the greatest common factor 88774 and 88791 is 17.

Also check out the Least Common Multiple of 88774 and 88791