What is the Greatest Common Factor of 4144 and 4151?

Greatest common factor (GCF) of 4144 and 4151 is 7.

GCF(4144,4151) = 7

We will now calculate the prime factors of 4144 and 4151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4144 and 4151.

How to find the GCF of 4144 and 4151?

We will first find the prime factorization of 4144 and 4151. After we will calculate the factors of 4144 and 4151 and find the biggest common factor number .

Step-1: Prime Factorization of 4144

Prime factors of 4144 are 2, 7, 37. Prime factorization of 4144 in exponential form is:

4144 = 2⁴ × 7¹ × 37¹

Step-2: Prime Factorization of 4151

Prime factors of 4151 are 7, 593. Prime factorization of 4151 in exponential form is:

4151 = 7¹ × 593¹

Step-3: Factors of 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072

Step-4: Factors of 4151

List of positive integer factors of 4151 that divides 4144 without a remainder.

1, 7, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4144 and 4151. The biggest common factor number is the GCF number.
So the greatest common factor 4144 and 4151 is 7.

Also check out the Least Common Multiple of 4144 and 4151