What is the Greatest Common Factor of 88760 and 88774?

Greatest common factor (GCF) of 88760 and 88774 is 14.

GCF(88760,88774) = 14

We will now calculate the prime factors of 88760 and 88774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88760 and 88774.

How to find the GCF of 88760 and 88774?

We will first find the prime factorization of 88760 and 88774. After we will calculate the factors of 88760 and 88774 and find the biggest common factor number .

Step-1: Prime Factorization of 88760

Prime factors of 88760 are 2, 5, 7, 317. Prime factorization of 88760 in exponential form is:

88760 = 2³ × 5¹ × 7¹ × 317¹

Step-2: 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-3: Factors of 88760

List of positive integer factors of 88760 that divides 88760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 317, 634, 1268, 1585, 2219, 2536, 3170, 4438, 6340, 8876, 11095, 12680, 17752, 22190, 44380

Step-4: Factors of 88774

List of positive integer factors of 88774 that divides 88760 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88760 and 88774. The biggest common factor number is the GCF number.
So the greatest common factor 88760 and 88774 is 14.

Also check out the Least Common Multiple of 88760 and 88774