What is the Greatest Common Factor of 88361 and 88368?

Greatest common factor (GCF) of 88361 and 88368 is 7.

GCF(88361,88368) = 7

We will now calculate the prime factors of 88361 and 88368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88361 and 88368.

How to find the GCF of 88361 and 88368?

We will first find the prime factorization of 88361 and 88368. After we will calculate the factors of 88361 and 88368 and find the biggest common factor number .

Step-1: Prime Factorization of 88361

Prime factors of 88361 are 7, 13, 971. Prime factorization of 88361 in exponential form is:

88361 = 7¹ × 13¹ × 971¹

Step-2: 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-3: Factors of 88361

List of positive integer factors of 88361 that divides 88361 without a remainder.

1, 7, 13, 91, 971, 6797, 12623

Step-4: Factors of 88368

List of positive integer factors of 88368 that divides 88361 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88361 and 88368. The biggest common factor number is the GCF number.
So the greatest common factor 88361 and 88368 is 7.

Also check out the Least Common Multiple of 88361 and 88368