What is the Greatest Common Factor of 38410 and 38430?

Greatest common factor (GCF) of 38410 and 38430 is 10.

GCF(38410,38430) = 10

We will now calculate the prime factors of 38410 and 38430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38410 and 38430.

How to find the GCF of 38410 and 38430?

We will first find the prime factorization of 38410 and 38430. After we will calculate the factors of 38410 and 38430 and find the biggest common factor number .

Step-1: Prime Factorization of 38410

Prime factors of 38410 are 2, 5, 23, 167. Prime factorization of 38410 in exponential form is:

38410 = 2¹ × 5¹ × 23¹ × 167¹

Step-2: Prime Factorization of 38430

Prime factors of 38430 are 2, 3, 5, 7, 61. Prime factorization of 38430 in exponential form is:

38430 = 2¹ × 3² × 5¹ × 7¹ × 61¹

Step-3: Factors of 38410

List of positive integer factors of 38410 that divides 38410 without a remainder.

1, 2, 5, 10, 23, 46, 115, 167, 230, 334, 835, 1670, 3841, 7682, 19205

Step-4: Factors of 38430

List of positive integer factors of 38430 that divides 38410 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 61, 63, 70, 90, 105, 122, 126, 183, 210, 305, 315, 366, 427, 549, 610, 630, 854, 915, 1098, 1281, 1830, 2135, 2562, 2745, 3843, 4270, 5490, 6405, 7686, 12810, 19215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38410 and 38430. The biggest common factor number is the GCF number.
So the greatest common factor 38410 and 38430 is 10.

Also check out the Least Common Multiple of 38410 and 38430