What is the Greatest Common Factor of 90314 and 90334?

Greatest common factor (GCF) of 90314 and 90334 is 2.

GCF(90314,90334) = 2

We will now calculate the prime factors of 90314 and 90334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90314 and 90334.

How to find the GCF of 90314 and 90334?

We will first find the prime factorization of 90314 and 90334. After we will calculate the factors of 90314 and 90334 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 90334

Prime factors of 90334 are 2, 31, 47. Prime factorization of 90334 in exponential form is:

90334 = 2¹ × 31² × 47¹

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 90334

List of positive integer factors of 90334 that divides 90314 without a remainder.

1, 2, 31, 47, 62, 94, 961, 1457, 1922, 2914, 45167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90314 and 90334. The biggest common factor number is the GCF number.
So the greatest common factor 90314 and 90334 is 2.

Also check out the Least Common Multiple of 90314 and 90334