What is the Greatest Common Factor of 49229 and 49248?

Greatest common factor (GCF) of 49229 and 49248 is 19.

GCF(49229,49248) = 19

We will now calculate the prime factors of 49229 and 49248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49229 and 49248.

How to find the GCF of 49229 and 49248?

We will first find the prime factorization of 49229 and 49248. After we will calculate the factors of 49229 and 49248 and find the biggest common factor number .

Step-1: Prime Factorization of 49229

Prime factors of 49229 are 19, 2591. Prime factorization of 49229 in exponential form is:

49229 = 19¹ × 2591¹

Step-2: Prime Factorization of 49248

Prime factors of 49248 are 2, 3, 19. Prime factorization of 49248 in exponential form is:

49248 = 2⁵ × 3⁴ × 19¹

Step-3: Factors of 49229

List of positive integer factors of 49229 that divides 49229 without a remainder.

1, 19, 2591

Step-4: Factors of 49248

List of positive integer factors of 49248 that divides 49229 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38, 48, 54, 57, 72, 76, 81, 96, 108, 114, 144, 152, 162, 171, 216, 228, 288, 304, 324, 342, 432, 456, 513, 608, 648, 684, 864, 912, 1026, 1296, 1368, 1539, 1824, 2052, 2592, 2736, 3078, 4104, 5472, 6156, 8208, 12312, 16416, 24624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49229 and 49248. The biggest common factor number is the GCF number.
So the greatest common factor 49229 and 49248 is 19.

Also check out the Least Common Multiple of 49229 and 49248