What is the Greatest Common Factor of 31148 and 31153?

Greatest common factor (GCF) of 31148 and 31153 is 1.

GCF(31148,31153) = 1

We will now calculate the prime factors of 31148 and 31153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31148 and 31153.

How to find the GCF of 31148 and 31153?

We will first find the prime factorization of 31148 and 31153. After we will calculate the factors of 31148 and 31153 and find the biggest common factor number .

Step-1: Prime Factorization of 31148

Prime factors of 31148 are 2, 13, 599. Prime factorization of 31148 in exponential form is:

31148 = 2² × 13¹ × 599¹

Step-2: Prime Factorization of 31153

Prime factors of 31153 are 31153. Prime factorization of 31153 in exponential form is:

31153 = 31153¹

Step-3: Factors of 31148

List of positive integer factors of 31148 that divides 31148 without a remainder.

1, 2, 4, 13, 26, 52, 599, 1198, 2396, 7787, 15574

Step-4: Factors of 31153

List of positive integer factors of 31153 that divides 31148 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31148 and 31153. The biggest common factor number is the GCF number.
So the greatest common factor 31148 and 31153 is 1.

Also check out the Least Common Multiple of 31148 and 31153