What is the Greatest Common Factor of 59228 and 59248?

Greatest common factor (GCF) of 59228 and 59248 is 4.

GCF(59228,59248) = 4

We will now calculate the prime factors of 59228 and 59248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59228 and 59248.

How to find the GCF of 59228 and 59248?

We will first find the prime factorization of 59228 and 59248. After we will calculate the factors of 59228 and 59248 and find the biggest common factor number .

Step-1: Prime Factorization of 59228

Prime factors of 59228 are 2, 13, 17, 67. Prime factorization of 59228 in exponential form is:

59228 = 2² × 13¹ × 17¹ × 67¹

Step-2: Prime Factorization of 59248

Prime factors of 59248 are 2, 7, 23. Prime factorization of 59248 in exponential form is:

59248 = 2⁴ × 7¹ × 23²

Step-3: Factors of 59228

List of positive integer factors of 59228 that divides 59228 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 67, 68, 134, 221, 268, 442, 871, 884, 1139, 1742, 2278, 3484, 4556, 14807, 29614

Step-4: Factors of 59248

List of positive integer factors of 59248 that divides 59228 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 529, 644, 1058, 1288, 2116, 2576, 3703, 4232, 7406, 8464, 14812, 29624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59228 and 59248. The biggest common factor number is the GCF number.
So the greatest common factor 59228 and 59248 is 4.

Also check out the Least Common Multiple of 59228 and 59248