What is the Greatest Common Factor of 46138 and 46144?

Greatest common factor (GCF) of 46138 and 46144 is 2.

GCF(46138,46144) = 2

We will now calculate the prime factors of 46138 and 46144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46138 and 46144.

How to find the GCF of 46138 and 46144?

We will first find the prime factorization of 46138 and 46144. After we will calculate the factors of 46138 and 46144 and find the biggest common factor number .

Step-1: Prime Factorization of 46138

Prime factors of 46138 are 2, 17, 23, 59. Prime factorization of 46138 in exponential form is:

46138 = 2¹ × 17¹ × 23¹ × 59¹

Step-2: Prime Factorization of 46144

Prime factors of 46144 are 2, 7, 103. Prime factorization of 46144 in exponential form is:

46144 = 2⁶ × 7¹ × 103¹

Step-3: Factors of 46138

List of positive integer factors of 46138 that divides 46138 without a remainder.

1, 2, 17, 23, 34, 46, 59, 118, 391, 782, 1003, 1357, 2006, 2714, 23069

Step-4: Factors of 46144

List of positive integer factors of 46144 that divides 46138 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 103, 112, 206, 224, 412, 448, 721, 824, 1442, 1648, 2884, 3296, 5768, 6592, 11536, 23072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46138 and 46144. The biggest common factor number is the GCF number.
So the greatest common factor 46138 and 46144 is 2.

Also check out the Least Common Multiple of 46138 and 46144