What is the Greatest Common Factor of 30492 and 30510?

Greatest common factor (GCF) of 30492 and 30510 is 18.

GCF(30492,30510) = 18

We will now calculate the prime factors of 30492 and 30510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30492 and 30510.

How to find the GCF of 30492 and 30510?

We will first find the prime factorization of 30492 and 30510. After we will calculate the factors of 30492 and 30510 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30510

Prime factors of 30510 are 2, 3, 5, 113. Prime factorization of 30510 in exponential form is:

30510 = 2¹ × 3³ × 5¹ × 113¹

Step-3: Factors of 30492

List of positive integer factors of 30492 that divides 30492 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

Step-4: Factors of 30510

List of positive integer factors of 30510 that divides 30492 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 113, 135, 226, 270, 339, 565, 678, 1017, 1130, 1695, 2034, 3051, 3390, 5085, 6102, 10170, 15255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30492 and 30510. The biggest common factor number is the GCF number.
So the greatest common factor 30492 and 30510 is 18.

Also check out the Least Common Multiple of 30492 and 30510