What is the Greatest Common Factor of 46144 and 46148?

Greatest common factor (GCF) of 46144 and 46148 is 4.

GCF(46144,46148) = 4

We will now calculate the prime factors of 46144 and 46148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46144 and 46148.

How to find the GCF of 46144 and 46148?

We will first find the prime factorization of 46144 and 46148. After we will calculate the factors of 46144 and 46148 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 46148

Prime factors of 46148 are 2, 83, 139. Prime factorization of 46148 in exponential form is:

46148 = 2² × 83¹ × 139¹

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 46148

List of positive integer factors of 46148 that divides 46144 without a remainder.

1, 2, 4, 83, 139, 166, 278, 332, 556, 11537, 23074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46144 and 46148. The biggest common factor number is the GCF number.
So the greatest common factor 46144 and 46148 is 4.

Also check out the Least Common Multiple of 46144 and 46148