What is the Greatest Common Factor of 88368 and 88378?

Greatest common factor (GCF) of 88368 and 88378 is 2.

GCF(88368,88378) = 2

We will now calculate the prime factors of 88368 and 88378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88368 and 88378.

How to find the GCF of 88368 and 88378?

We will first find the prime factorization of 88368 and 88378. After we will calculate the factors of 88368 and 88378 and find the biggest common factor number .

Step-1: Prime Factorization of 88368

Prime factors of 88368 are 2, 3, 7, 263. Prime factorization of 88368 in exponential form is:

88368 = 2⁴ × 3¹ × 7¹ × 263¹

Step-2: Prime Factorization of 88378

Prime factors of 88378 are 2, 44189. Prime factorization of 88378 in exponential form is:

88378 = 2¹ × 44189¹

Step-3: Factors of 88368

List of positive integer factors of 88368 that divides 88368 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 263, 336, 526, 789, 1052, 1578, 1841, 2104, 3156, 3682, 4208, 5523, 6312, 7364, 11046, 12624, 14728, 22092, 29456, 44184

Step-4: Factors of 88378

List of positive integer factors of 88378 that divides 88368 without a remainder.

1, 2, 44189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88368 and 88378. The biggest common factor number is the GCF number.
So the greatest common factor 88368 and 88378 is 2.

Also check out the Least Common Multiple of 88368 and 88378