What is the Greatest Common Factor of 30476 and 30492?

Greatest common factor (GCF) of 30476 and 30492 is 4.

GCF(30476,30492) = 4

We will now calculate the prime factors of 30476 and 30492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30476 and 30492.

How to find the GCF of 30476 and 30492?

We will first find the prime factorization of 30476 and 30492. After we will calculate the factors of 30476 and 30492 and find the biggest common factor number .

Step-1: Prime Factorization of 30476

Prime factors of 30476 are 2, 19, 401. Prime factorization of 30476 in exponential form is:

30476 = 2² × 19¹ × 401¹

Step-2: Prime Factorization of 30492

Prime factors of 30492 are 2, 3, 7, 11. Prime factorization of 30492 in exponential form is:

30492 = 2² × 3² × 7¹ × 11²

Step-3: Factors of 30476

List of positive integer factors of 30476 that divides 30476 without a remainder.

1, 2, 4, 19, 38, 76, 401, 802, 1604, 7619, 15238

Step-4: Factors of 30492

List of positive integer factors of 30492 that divides 30476 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 121, 126, 132, 154, 198, 231, 242, 252, 308, 363, 396, 462, 484, 693, 726, 847, 924, 1089, 1386, 1452, 1694, 2178, 2541, 2772, 3388, 4356, 5082, 7623, 10164, 15246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30476 and 30492. The biggest common factor number is the GCF number.
So the greatest common factor 30476 and 30492 is 4.

Also check out the Least Common Multiple of 30476 and 30492