What is the Greatest Common Factor of 49210 and 49229?

Greatest common factor (GCF) of 49210 and 49229 is 19.

GCF(49210,49229) = 19

We will now calculate the prime factors of 49210 and 49229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49210 and 49229.

How to find the GCF of 49210 and 49229?

We will first find the prime factorization of 49210 and 49229. After we will calculate the factors of 49210 and 49229 and find the biggest common factor number .

Step-1: Prime Factorization of 49210

Prime factors of 49210 are 2, 5, 7, 19, 37. Prime factorization of 49210 in exponential form is:

49210 = 2¹ × 5¹ × 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 49229

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

49229 = 19¹ × 2591¹

Step-3: Factors of 49210

List of positive integer factors of 49210 that divides 49210 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 37, 38, 70, 74, 95, 133, 185, 190, 259, 266, 370, 518, 665, 703, 1295, 1330, 1406, 2590, 3515, 4921, 7030, 9842, 24605

Step-4: Factors of 49229

List of positive integer factors of 49229 that divides 49210 without a remainder.

1, 19, 2591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49210 and 49229. The biggest common factor number is the GCF number.
So the greatest common factor 49210 and 49229 is 19.

Also check out the Least Common Multiple of 49210 and 49229