What is the Greatest Common Factor of 51142 and 51149?

Greatest common factor (GCF) of 51142 and 51149 is 7.

GCF(51142,51149) = 7

We will now calculate the prime factors of 51142 and 51149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51142 and 51149.

How to find the GCF of 51142 and 51149?

We will first find the prime factorization of 51142 and 51149. After we will calculate the factors of 51142 and 51149 and find the biggest common factor number .

Step-1: Prime Factorization of 51142

Prime factors of 51142 are 2, 7, 13, 281. Prime factorization of 51142 in exponential form is:

51142 = 2¹ × 7¹ × 13¹ × 281¹

Step-2: Prime Factorization of 51149

Prime factors of 51149 are 7, 7307. Prime factorization of 51149 in exponential form is:

51149 = 7¹ × 7307¹

Step-3: Factors of 51142

List of positive integer factors of 51142 that divides 51142 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 281, 562, 1967, 3653, 3934, 7306, 25571

Step-4: Factors of 51149

List of positive integer factors of 51149 that divides 51142 without a remainder.

1, 7, 7307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51142 and 51149. The biggest common factor number is the GCF number.
So the greatest common factor 51142 and 51149 is 7.

Also check out the Least Common Multiple of 51142 and 51149