What is the Greatest Common Factor of 88458 and 88476?

Greatest common factor (GCF) of 88458 and 88476 is 6.

GCF(88458,88476) = 6

We will now calculate the prime factors of 88458 and 88476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88458 and 88476.

How to find the GCF of 88458 and 88476?

We will first find the prime factorization of 88458 and 88476. After we will calculate the factors of 88458 and 88476 and find the biggest common factor number .

Step-1: Prime Factorization of 88458

Prime factors of 88458 are 2, 3, 23, 641. Prime factorization of 88458 in exponential form is:

88458 = 2¹ × 3¹ × 23¹ × 641¹

Step-2: Prime Factorization of 88476

Prime factors of 88476 are 2, 3, 73, 101. Prime factorization of 88476 in exponential form is:

88476 = 2² × 3¹ × 73¹ × 101¹

Step-3: Factors of 88458

List of positive integer factors of 88458 that divides 88458 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 641, 1282, 1923, 3846, 14743, 29486, 44229

Step-4: Factors of 88476

List of positive integer factors of 88476 that divides 88458 without a remainder.

1, 2, 3, 4, 6, 12, 73, 101, 146, 202, 219, 292, 303, 404, 438, 606, 876, 1212, 7373, 14746, 22119, 29492, 44238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88458 and 88476. The biggest common factor number is the GCF number.
So the greatest common factor 88458 and 88476 is 6.

Also check out the Least Common Multiple of 88458 and 88476