What is the Greatest Common Factor of 46354 and 46368?

Greatest common factor (GCF) of 46354 and 46368 is 14.

GCF(46354,46368) = 14

We will now calculate the prime factors of 46354 and 46368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46354 and 46368.

How to find the GCF of 46354 and 46368?

We will first find the prime factorization of 46354 and 46368. After we will calculate the factors of 46354 and 46368 and find the biggest common factor number .

Step-1: Prime Factorization of 46354

Prime factors of 46354 are 2, 7, 11, 43. Prime factorization of 46354 in exponential form is:

46354 = 2¹ × 7² × 11¹ × 43¹

Step-2: Prime Factorization of 46368

Prime factors of 46368 are 2, 3, 7, 23. Prime factorization of 46368 in exponential form is:

46368 = 2⁵ × 3² × 7¹ × 23¹

Step-3: Factors of 46354

List of positive integer factors of 46354 that divides 46354 without a remainder.

1, 2, 7, 11, 14, 22, 43, 49, 77, 86, 98, 154, 301, 473, 539, 602, 946, 1078, 2107, 3311, 4214, 6622, 23177

Step-4: Factors of 46368

List of positive integer factors of 46368 that divides 46354 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 23, 24, 28, 32, 36, 42, 46, 48, 56, 63, 69, 72, 84, 92, 96, 112, 126, 138, 144, 161, 168, 184, 207, 224, 252, 276, 288, 322, 336, 368, 414, 483, 504, 552, 644, 672, 736, 828, 966, 1008, 1104, 1288, 1449, 1656, 1932, 2016, 2208, 2576, 2898, 3312, 3864, 5152, 5796, 6624, 7728, 11592, 15456, 23184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46354 and 46368. The biggest common factor number is the GCF number.
So the greatest common factor 46354 and 46368 is 14.

Also check out the Least Common Multiple of 46354 and 46368