What is the Greatest Common Factor of 88610 and 88614?

Greatest common factor (GCF) of 88610 and 88614 is 2.

GCF(88610,88614) = 2

We will now calculate the prime factors of 88610 and 88614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88610 and 88614.

How to find the GCF of 88610 and 88614?

We will first find the prime factorization of 88610 and 88614. After we will calculate the factors of 88610 and 88614 and find the biggest common factor number .

Step-1: Prime Factorization of 88610

Prime factors of 88610 are 2, 5, 8861. Prime factorization of 88610 in exponential form is:

88610 = 2¹ × 5¹ × 8861¹

Step-2: Prime Factorization of 88614

Prime factors of 88614 are 2, 3, 547. Prime factorization of 88614 in exponential form is:

88614 = 2¹ × 3⁴ × 547¹

Step-3: Factors of 88610

List of positive integer factors of 88610 that divides 88610 without a remainder.

1, 2, 5, 10, 8861, 17722, 44305

Step-4: Factors of 88614

List of positive integer factors of 88614 that divides 88610 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 547, 1094, 1641, 3282, 4923, 9846, 14769, 29538, 44307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88610 and 88614. The biggest common factor number is the GCF number.
So the greatest common factor 88610 and 88614 is 2.

Also check out the Least Common Multiple of 88610 and 88614