What is the Greatest Common Factor of 90748 and 90762?

Greatest common factor (GCF) of 90748 and 90762 is 14.

GCF(90748,90762) = 14

We will now calculate the prime factors of 90748 and 90762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90748 and 90762.

How to find the GCF of 90748 and 90762?

We will first find the prime factorization of 90748 and 90762. After we will calculate the factors of 90748 and 90762 and find the biggest common factor number .

Step-1: Prime Factorization of 90748

Prime factors of 90748 are 2, 7, 463. Prime factorization of 90748 in exponential form is:

90748 = 2² × 7² × 463¹

Step-2: Prime Factorization of 90762

Prime factors of 90762 are 2, 3, 7, 2161. Prime factorization of 90762 in exponential form is:

90762 = 2¹ × 3¹ × 7¹ × 2161¹

Step-3: Factors of 90748

List of positive integer factors of 90748 that divides 90748 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 463, 926, 1852, 3241, 6482, 12964, 22687, 45374

Step-4: Factors of 90762

List of positive integer factors of 90762 that divides 90748 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2161, 4322, 6483, 12966, 15127, 30254, 45381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90748 and 90762. The biggest common factor number is the GCF number.
So the greatest common factor 90748 and 90762 is 14.

Also check out the Least Common Multiple of 90748 and 90762