What is the Greatest Common Factor of 88296 and 88312?

Greatest common factor (GCF) of 88296 and 88312 is 8.

GCF(88296,88312) = 8

We will now calculate the prime factors of 88296 and 88312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88296 and 88312.

How to find the GCF of 88296 and 88312?

We will first find the prime factorization of 88296 and 88312. After we will calculate the factors of 88296 and 88312 and find the biggest common factor number .

Step-1: Prime Factorization of 88296

Prime factors of 88296 are 2, 3, 13, 283. Prime factorization of 88296 in exponential form is:

88296 = 2³ × 3¹ × 13¹ × 283¹

Step-2: Prime Factorization of 88312

Prime factors of 88312 are 2, 7, 19, 83. Prime factorization of 88312 in exponential form is:

88312 = 2³ × 7¹ × 19¹ × 83¹

Step-3: Factors of 88296

List of positive integer factors of 88296 that divides 88296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 283, 312, 566, 849, 1132, 1698, 2264, 3396, 3679, 6792, 7358, 11037, 14716, 22074, 29432, 44148

Step-4: Factors of 88312

List of positive integer factors of 88312 that divides 88296 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 83, 133, 152, 166, 266, 332, 532, 581, 664, 1064, 1162, 1577, 2324, 3154, 4648, 6308, 11039, 12616, 22078, 44156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88296 and 88312. The biggest common factor number is the GCF number.
So the greatest common factor 88296 and 88312 is 8.

Also check out the Least Common Multiple of 88296 and 88312