What is the Greatest Common Factor of 49390 and 49410?

Greatest common factor (GCF) of 49390 and 49410 is 10.

GCF(49390,49410) = 10

We will now calculate the prime factors of 49390 and 49410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49390 and 49410.

How to find the GCF of 49390 and 49410?

We will first find the prime factorization of 49390 and 49410. After we will calculate the factors of 49390 and 49410 and find the biggest common factor number .

Step-1: Prime Factorization of 49390

Prime factors of 49390 are 2, 5, 11, 449. Prime factorization of 49390 in exponential form is:

49390 = 2¹ × 5¹ × 11¹ × 449¹

Step-2: Prime Factorization of 49410

Prime factors of 49410 are 2, 3, 5, 61. Prime factorization of 49410 in exponential form is:

49410 = 2¹ × 3⁴ × 5¹ × 61¹

Step-3: Factors of 49390

List of positive integer factors of 49390 that divides 49390 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 449, 898, 2245, 4490, 4939, 9878, 24695

Step-4: Factors of 49410

List of positive integer factors of 49410 that divides 49390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 61, 81, 90, 122, 135, 162, 183, 270, 305, 366, 405, 549, 610, 810, 915, 1098, 1647, 1830, 2745, 3294, 4941, 5490, 8235, 9882, 16470, 24705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49390 and 49410. The biggest common factor number is the GCF number.
So the greatest common factor 49390 and 49410 is 10.

Also check out the Least Common Multiple of 49390 and 49410