What is the Greatest Common Factor of 30148 and 30164?

Greatest common factor (GCF) of 30148 and 30164 is 4.

GCF(30148,30164) = 4

We will now calculate the prime factors of 30148 and 30164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30148 and 30164.

How to find the GCF of 30148 and 30164?

We will first find the prime factorization of 30148 and 30164. After we will calculate the factors of 30148 and 30164 and find the biggest common factor number .

Step-1: Prime Factorization of 30148

Prime factors of 30148 are 2, 7537. Prime factorization of 30148 in exponential form is:

30148 = 2² × 7537¹

Step-2: Prime Factorization of 30164

Prime factors of 30164 are 2, 7541. Prime factorization of 30164 in exponential form is:

30164 = 2² × 7541¹

Step-3: Factors of 30148

List of positive integer factors of 30148 that divides 30148 without a remainder.

1, 2, 4, 7537, 15074

Step-4: Factors of 30164

List of positive integer factors of 30164 that divides 30148 without a remainder.

1, 2, 4, 7541, 15082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30148 and 30164. The biggest common factor number is the GCF number.
So the greatest common factor 30148 and 30164 is 4.

Also check out the Least Common Multiple of 30148 and 30164