What is the Greatest Common Factor of 38425 and 38430?

Greatest common factor (GCF) of 38425 and 38430 is 5.

GCF(38425,38430) = 5

We will now calculate the prime factors of 38425 and 38430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38425 and 38430.

How to find the GCF of 38425 and 38430?

We will first find the prime factorization of 38425 and 38430. After we will calculate the factors of 38425 and 38430 and find the biggest common factor number .

Step-1: Prime Factorization of 38425

Prime factors of 38425 are 5, 29, 53. Prime factorization of 38425 in exponential form is:

38425 = 5² × 29¹ × 53¹

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 38425

List of positive integer factors of 38425 that divides 38425 without a remainder.

1, 5, 25, 29, 53, 145, 265, 725, 1325, 1537, 7685

Step-4: Factors of 38430

List of positive integer factors of 38430 that divides 38425 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 38425 and 38430. The biggest common factor number is the GCF number.
So the greatest common factor 38425 and 38430 is 5.

Also check out the Least Common Multiple of 38425 and 38430