What is the Greatest Common Factor of 88466 and 88474?

Greatest common factor (GCF) of 88466 and 88474 is 2.

GCF(88466,88474) = 2

We will now calculate the prime factors of 88466 and 88474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88466 and 88474.

How to find the GCF of 88466 and 88474?

We will first find the prime factorization of 88466 and 88474. After we will calculate the factors of 88466 and 88474 and find the biggest common factor number .

Step-1: Prime Factorization of 88466

Prime factors of 88466 are 2, 7, 71, 89. Prime factorization of 88466 in exponential form is:

88466 = 2¹ × 7¹ × 71¹ × 89¹

Step-2: Prime Factorization of 88474

Prime factors of 88474 are 2, 31, 1427. Prime factorization of 88474 in exponential form is:

88474 = 2¹ × 31¹ × 1427¹

Step-3: Factors of 88466

List of positive integer factors of 88466 that divides 88466 without a remainder.

1, 2, 7, 14, 71, 89, 142, 178, 497, 623, 994, 1246, 6319, 12638, 44233

Step-4: Factors of 88474

List of positive integer factors of 88474 that divides 88466 without a remainder.

1, 2, 31, 62, 1427, 2854, 44237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88466 and 88474. The biggest common factor number is the GCF number.
So the greatest common factor 88466 and 88474 is 2.

Also check out the Least Common Multiple of 88466 and 88474