What is the Greatest Common Factor of 46214 and 46224?

Greatest common factor (GCF) of 46214 and 46224 is 2.

GCF(46214,46224) = 2

We will now calculate the prime factors of 46214 and 46224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46214 and 46224.

How to find the GCF of 46214 and 46224?

We will first find the prime factorization of 46214 and 46224. After we will calculate the factors of 46214 and 46224 and find the biggest common factor number .

Step-1: Prime Factorization of 46214

Prime factors of 46214 are 2, 7, 3301. Prime factorization of 46214 in exponential form is:

46214 = 2¹ × 7¹ × 3301¹

Step-2: Prime Factorization of 46224

Prime factors of 46224 are 2, 3, 107. Prime factorization of 46224 in exponential form is:

46224 = 2⁴ × 3³ × 107¹

Step-3: Factors of 46214

List of positive integer factors of 46214 that divides 46214 without a remainder.

1, 2, 7, 14, 3301, 6602, 23107

Step-4: Factors of 46224

List of positive integer factors of 46224 that divides 46214 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 107, 108, 144, 214, 216, 321, 428, 432, 642, 856, 963, 1284, 1712, 1926, 2568, 2889, 3852, 5136, 5778, 7704, 11556, 15408, 23112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46214 and 46224. The biggest common factor number is the GCF number.
So the greatest common factor 46214 and 46224 is 2.

Also check out the Least Common Multiple of 46214 and 46224