What is the Greatest Common Factor of 92946 and 92960?

Greatest common factor (GCF) of 92946 and 92960 is 14.

GCF(92946,92960) = 14

We will now calculate the prime factors of 92946 and 92960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92946 and 92960.

How to find the GCF of 92946 and 92960?

We will first find the prime factorization of 92946 and 92960. After we will calculate the factors of 92946 and 92960 and find the biggest common factor number .

Step-1: Prime Factorization of 92946

Prime factors of 92946 are 2, 3, 7, 2213. Prime factorization of 92946 in exponential form is:

92946 = 2¹ × 3¹ × 7¹ × 2213¹

Step-2: Prime Factorization of 92960

Prime factors of 92960 are 2, 5, 7, 83. Prime factorization of 92960 in exponential form is:

92960 = 2⁵ × 5¹ × 7¹ × 83¹

Step-3: Factors of 92946

List of positive integer factors of 92946 that divides 92946 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2213, 4426, 6639, 13278, 15491, 30982, 46473

Step-4: Factors of 92960

List of positive integer factors of 92960 that divides 92946 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 83, 112, 140, 160, 166, 224, 280, 332, 415, 560, 581, 664, 830, 1120, 1162, 1328, 1660, 2324, 2656, 2905, 3320, 4648, 5810, 6640, 9296, 11620, 13280, 18592, 23240, 46480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92946 and 92960. The biggest common factor number is the GCF number.
So the greatest common factor 92946 and 92960 is 14.

Also check out the Least Common Multiple of 92946 and 92960