What is the Greatest Common Factor of 30251 and 30264?

Greatest common factor (GCF) of 30251 and 30264 is 13.

GCF(30251,30264) = 13

We will now calculate the prime factors of 30251 and 30264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30251 and 30264.

How to find the GCF of 30251 and 30264?

We will first find the prime factorization of 30251 and 30264. After we will calculate the factors of 30251 and 30264 and find the biggest common factor number .

Step-1: Prime Factorization of 30251

Prime factors of 30251 are 13, 179. Prime factorization of 30251 in exponential form is:

30251 = 13² × 179¹

Step-2: Prime Factorization of 30264

Prime factors of 30264 are 2, 3, 13, 97. Prime factorization of 30264 in exponential form is:

30264 = 2³ × 3¹ × 13¹ × 97¹

Step-3: Factors of 30251

List of positive integer factors of 30251 that divides 30251 without a remainder.

1, 13, 169, 179, 2327

Step-4: Factors of 30264

List of positive integer factors of 30264 that divides 30251 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 97, 104, 156, 194, 291, 312, 388, 582, 776, 1164, 1261, 2328, 2522, 3783, 5044, 7566, 10088, 15132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30251 and 30264. The biggest common factor number is the GCF number.
So the greatest common factor 30251 and 30264 is 13.

Also check out the Least Common Multiple of 30251 and 30264