What is the Greatest Common Factor of 88746 and 88760?

Greatest common factor (GCF) of 88746 and 88760 is 14.

GCF(88746,88760) = 14

We will now calculate the prime factors of 88746 and 88760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88746 and 88760.

How to find the GCF of 88746 and 88760?

We will first find the prime factorization of 88746 and 88760. After we will calculate the factors of 88746 and 88760 and find the biggest common factor number .

Step-1: Prime Factorization of 88746

Prime factors of 88746 are 2, 3, 7, 2113. Prime factorization of 88746 in exponential form is:

88746 = 2¹ × 3¹ × 7¹ × 2113¹

Step-2: 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-3: Factors of 88746

List of positive integer factors of 88746 that divides 88746 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2113, 4226, 6339, 12678, 14791, 29582, 44373

Step-4: Factors of 88760

List of positive integer factors of 88760 that divides 88746 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88746 and 88760. The biggest common factor number is the GCF number.
So the greatest common factor 88746 and 88760 is 14.

Also check out the Least Common Multiple of 88746 and 88760