What is the Greatest Common Factor of 66131 and 66148?

Greatest common factor (GCF) of 66131 and 66148 is 1.

GCF(66131,66148) = 1

We will now calculate the prime factors of 66131 and 66148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66131 and 66148.

How to find the GCF of 66131 and 66148?

We will first find the prime factorization of 66131 and 66148. After we will calculate the factors of 66131 and 66148 and find the biggest common factor number .

Step-1: Prime Factorization of 66131

Prime factors of 66131 are 13, 5087. Prime factorization of 66131 in exponential form is:

66131 = 13¹ × 5087¹

Step-2: Prime Factorization of 66148

Prime factors of 66148 are 2, 23, 719. Prime factorization of 66148 in exponential form is:

66148 = 2² × 23¹ × 719¹

Step-3: Factors of 66131

List of positive integer factors of 66131 that divides 66131 without a remainder.

1, 13, 5087

Step-4: Factors of 66148

List of positive integer factors of 66148 that divides 66131 without a remainder.

1, 2, 4, 23, 46, 92, 719, 1438, 2876, 16537, 33074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66131 and 66148. The biggest common factor number is the GCF number.
So the greatest common factor 66131 and 66148 is 1.

Also check out the Least Common Multiple of 66131 and 66148