What is the Greatest Common Factor of 88746 and 88762?

Greatest common factor (GCF) of 88746 and 88762 is 2.

GCF(88746,88762) = 2

We will now calculate the prime factors of 88746 and 88762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88746 and 88762.

How to find the GCF of 88746 and 88762?

We will first find the prime factorization of 88746 and 88762. After we will calculate the factors of 88746 and 88762 and find the biggest common factor number .

Step-1: Prime Factorization of 88746

Prime factors of 88746 are 2, 3, 7, 2113. Prime factorization of 88746 in exponential form is:

88746 = 2¹ × 3¹ × 7¹ × 2113¹

Step-2: Prime Factorization of 88762

Prime factors of 88762 are 2, 44381. Prime factorization of 88762 in exponential form is:

88762 = 2¹ × 44381¹

Step-3: Factors of 88746

List of positive integer factors of 88746 that divides 88746 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2113, 4226, 6339, 12678, 14791, 29582, 44373

Step-4: Factors of 88762

List of positive integer factors of 88762 that divides 88746 without a remainder.

1, 2, 44381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88746 and 88762. The biggest common factor number is the GCF number.
So the greatest common factor 88746 and 88762 is 2.

Also check out the Least Common Multiple of 88746 and 88762