What is the Greatest Common Factor of 88414 and 88428?

Greatest common factor (GCF) of 88414 and 88428 is 2.

GCF(88414,88428) = 2

We will now calculate the prime factors of 88414 and 88428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88414 and 88428.

How to find the GCF of 88414 and 88428?

We will first find the prime factorization of 88414 and 88428. After we will calculate the factors of 88414 and 88428 and find the biggest common factor number .

Step-1: Prime Factorization of 88414

Prime factors of 88414 are 2, 44207. Prime factorization of 88414 in exponential form is:

88414 = 2¹ × 44207¹

Step-2: Prime Factorization of 88428

Prime factors of 88428 are 2, 3, 7369. Prime factorization of 88428 in exponential form is:

88428 = 2² × 3¹ × 7369¹

Step-3: Factors of 88414

List of positive integer factors of 88414 that divides 88414 without a remainder.

1, 2, 44207

Step-4: Factors of 88428

List of positive integer factors of 88428 that divides 88414 without a remainder.

1, 2, 3, 4, 6, 12, 7369, 14738, 22107, 29476, 44214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88414 and 88428. The biggest common factor number is the GCF number.
So the greatest common factor 88414 and 88428 is 2.

Also check out the Least Common Multiple of 88414 and 88428