What is the Greatest Common Factor of 90314 and 90328?

Greatest common factor (GCF) of 90314 and 90328 is 14.

GCF(90314,90328) = 14

We will now calculate the prime factors of 90314 and 90328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90314 and 90328.

How to find the GCF of 90314 and 90328?

We will first find the prime factorization of 90314 and 90328. After we will calculate the factors of 90314 and 90328 and find the biggest common factor number .

Step-1: Prime Factorization of 90314

Prime factors of 90314 are 2, 7, 6451. Prime factorization of 90314 in exponential form is:

90314 = 2¹ × 7¹ × 6451¹

Step-2: Prime Factorization of 90328

Prime factors of 90328 are 2, 7, 1613. Prime factorization of 90328 in exponential form is:

90328 = 2³ × 7¹ × 1613¹

Step-3: Factors of 90314

List of positive integer factors of 90314 that divides 90314 without a remainder.

1, 2, 7, 14, 6451, 12902, 45157

Step-4: Factors of 90328

List of positive integer factors of 90328 that divides 90314 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1613, 3226, 6452, 11291, 12904, 22582, 45164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90314 and 90328. The biggest common factor number is the GCF number.
So the greatest common factor 90314 and 90328 is 14.

Also check out the Least Common Multiple of 90314 and 90328