What is the Greatest Common Factor of 48137 and 48142?

Greatest common factor (GCF) of 48137 and 48142 is 1.

GCF(48137,48142) = 1

We will now calculate the prime factors of 48137 and 48142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48137 and 48142.

How to find the GCF of 48137 and 48142?

We will first find the prime factorization of 48137 and 48142. After we will calculate the factors of 48137 and 48142 and find the biggest common factor number .

Step-1: Prime Factorization of 48137

Prime factors of 48137 are 37, 1301. Prime factorization of 48137 in exponential form is:

48137 = 37¹ × 1301¹

Step-2: Prime Factorization of 48142

Prime factors of 48142 are 2, 24071. Prime factorization of 48142 in exponential form is:

48142 = 2¹ × 24071¹

Step-3: Factors of 48137

List of positive integer factors of 48137 that divides 48137 without a remainder.

1, 37, 1301

Step-4: Factors of 48142

List of positive integer factors of 48142 that divides 48137 without a remainder.

1, 2, 24071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48137 and 48142. The biggest common factor number is the GCF number.
So the greatest common factor 48137 and 48142 is 1.

Also check out the Least Common Multiple of 48137 and 48142