What is the Greatest Common Factor of 46144 and 46154?

Greatest common factor (GCF) of 46144 and 46154 is 2.

GCF(46144,46154) = 2

We will now calculate the prime factors of 46144 and 46154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46144 and 46154.

How to find the GCF of 46144 and 46154?

We will first find the prime factorization of 46144 and 46154. After we will calculate the factors of 46144 and 46154 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46154

Prime factors of 46154 are 2, 47, 491. Prime factorization of 46154 in exponential form is:

46154 = 2¹ × 47¹ × 491¹

Step-3: Factors of 46144

List of positive integer factors of 46144 that divides 46144 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

Step-4: Factors of 46154

List of positive integer factors of 46154 that divides 46144 without a remainder.

1, 2, 47, 94, 491, 982, 23077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46144 and 46154. The biggest common factor number is the GCF number.
So the greatest common factor 46144 and 46154 is 2.

Also check out the Least Common Multiple of 46144 and 46154