What is the Greatest Common Factor of 88658 and 88662?

Greatest common factor (GCF) of 88658 and 88662 is 2.

GCF(88658,88662) = 2

We will now calculate the prime factors of 88658 and 88662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88658 and 88662.

How to find the GCF of 88658 and 88662?

We will first find the prime factorization of 88658 and 88662. After we will calculate the factors of 88658 and 88662 and find the biggest common factor number .

Step-1: Prime Factorization of 88658

Prime factors of 88658 are 2, 97, 457. Prime factorization of 88658 in exponential form is:

88658 = 2¹ × 97¹ × 457¹

Step-2: Prime Factorization of 88662

Prime factors of 88662 are 2, 3, 7, 2111. Prime factorization of 88662 in exponential form is:

88662 = 2¹ × 3¹ × 7¹ × 2111¹

Step-3: Factors of 88658

List of positive integer factors of 88658 that divides 88658 without a remainder.

1, 2, 97, 194, 457, 914, 44329

Step-4: Factors of 88662

List of positive integer factors of 88662 that divides 88658 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2111, 4222, 6333, 12666, 14777, 29554, 44331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88658 and 88662. The biggest common factor number is the GCF number.
So the greatest common factor 88658 and 88662 is 2.

Also check out the Least Common Multiple of 88658 and 88662