What is the Greatest Common Factor of 30164 and 30180?

Greatest common factor (GCF) of 30164 and 30180 is 4.

GCF(30164,30180) = 4

We will now calculate the prime factors of 30164 and 30180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30164 and 30180.

How to find the GCF of 30164 and 30180?

We will first find the prime factorization of 30164 and 30180. After we will calculate the factors of 30164 and 30180 and find the biggest common factor number .

Step-1: Prime Factorization of 30164

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

30164 = 2² × 7541¹

Step-2: Prime Factorization of 30180

Prime factors of 30180 are 2, 3, 5, 503. Prime factorization of 30180 in exponential form is:

30180 = 2² × 3¹ × 5¹ × 503¹

Step-3: Factors of 30164

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

1, 2, 4, 7541, 15082

Step-4: Factors of 30180

List of positive integer factors of 30180 that divides 30164 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 503, 1006, 1509, 2012, 2515, 3018, 5030, 6036, 7545, 10060, 15090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30164 and 30180. The biggest common factor number is the GCF number.
So the greatest common factor 30164 and 30180 is 4.

Also check out the Least Common Multiple of 30164 and 30180