What is the Greatest Common Factor of 49410 and 49430?

Greatest common factor (GCF) of 49410 and 49430 is 10.

GCF(49410,49430) = 10

We will now calculate the prime factors of 49410 and 49430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49410 and 49430.

How to find the GCF of 49410 and 49430?

We will first find the prime factorization of 49410 and 49430. After we will calculate the factors of 49410 and 49430 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49430

Prime factors of 49430 are 2, 5, 4943. Prime factorization of 49430 in exponential form is:

49430 = 2¹ × 5¹ × 4943¹

Step-3: Factors of 49410

List of positive integer factors of 49410 that divides 49410 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

Step-4: Factors of 49430

List of positive integer factors of 49430 that divides 49410 without a remainder.

1, 2, 5, 10, 4943, 9886, 24715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49410 and 49430. The biggest common factor number is the GCF number.
So the greatest common factor 49410 and 49430 is 10.

Also check out the Least Common Multiple of 49410 and 49430