What is the Greatest Common Factor of 30084 and 30092?

Greatest common factor (GCF) of 30084 and 30092 is 4.

GCF(30084,30092) = 4

We will now calculate the prime factors of 30084 and 30092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30084 and 30092.

How to find the GCF of 30084 and 30092?

We will first find the prime factorization of 30084 and 30092. After we will calculate the factors of 30084 and 30092 and find the biggest common factor number .

Step-1: Prime Factorization of 30084

Prime factors of 30084 are 2, 3, 23, 109. Prime factorization of 30084 in exponential form is:

30084 = 2² × 3¹ × 23¹ × 109¹

Step-2: Prime Factorization of 30092

Prime factors of 30092 are 2, 7523. Prime factorization of 30092 in exponential form is:

30092 = 2² × 7523¹

Step-3: Factors of 30084

List of positive integer factors of 30084 that divides 30084 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 109, 138, 218, 276, 327, 436, 654, 1308, 2507, 5014, 7521, 10028, 15042

Step-4: Factors of 30092

List of positive integer factors of 30092 that divides 30084 without a remainder.

1, 2, 4, 7523, 15046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30084 and 30092. The biggest common factor number is the GCF number.
So the greatest common factor 30084 and 30092 is 4.

Also check out the Least Common Multiple of 30084 and 30092