What is the Greatest Common Factor of 88788 and 88795?

Greatest common factor (GCF) of 88788 and 88795 is 7.

GCF(88788,88795) = 7

We will now calculate the prime factors of 88788 and 88795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88788 and 88795.

How to find the GCF of 88788 and 88795?

We will first find the prime factorization of 88788 and 88795. After we will calculate the factors of 88788 and 88795 and find the biggest common factor number .

Step-1: Prime Factorization of 88788

Prime factors of 88788 are 2, 3, 7, 151. Prime factorization of 88788 in exponential form is:

88788 = 2² × 3¹ × 7² × 151¹

Step-2: Prime Factorization of 88795

Prime factors of 88795 are 5, 7, 43, 59. Prime factorization of 88795 in exponential form is:

88795 = 5¹ × 7¹ × 43¹ × 59¹

Step-3: Factors of 88788

List of positive integer factors of 88788 that divides 88788 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 151, 196, 294, 302, 453, 588, 604, 906, 1057, 1812, 2114, 3171, 4228, 6342, 7399, 12684, 14798, 22197, 29596, 44394

Step-4: Factors of 88795

List of positive integer factors of 88795 that divides 88788 without a remainder.

1, 5, 7, 35, 43, 59, 215, 295, 301, 413, 1505, 2065, 2537, 12685, 17759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88788 and 88795. The biggest common factor number is the GCF number.
So the greatest common factor 88788 and 88795 is 7.

Also check out the Least Common Multiple of 88788 and 88795