What is the Greatest Common Factor of 67425 and 67438?

Greatest common factor (GCF) of 67425 and 67438 is 1.

GCF(67425,67438) = 1

We will now calculate the prime factors of 67425 and 67438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67425 and 67438.

How to find the GCF of 67425 and 67438?

We will first find the prime factorization of 67425 and 67438. After we will calculate the factors of 67425 and 67438 and find the biggest common factor number .

Step-1: Prime Factorization of 67425

Prime factors of 67425 are 3, 5, 29, 31. Prime factorization of 67425 in exponential form is:

67425 = 3¹ × 5² × 29¹ × 31¹

Step-2: Prime Factorization of 67438

Prime factors of 67438 are 2, 7, 4817. Prime factorization of 67438 in exponential form is:

67438 = 2¹ × 7¹ × 4817¹

Step-3: Factors of 67425

List of positive integer factors of 67425 that divides 67425 without a remainder.

1, 3, 5, 15, 25, 29, 31, 75, 87, 93, 145, 155, 435, 465, 725, 775, 899, 2175, 2325, 2697, 4495, 13485, 22475

Step-4: Factors of 67438

List of positive integer factors of 67438 that divides 67425 without a remainder.

1, 2, 7, 14, 4817, 9634, 33719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67425 and 67438. The biggest common factor number is the GCF number.
So the greatest common factor 67425 and 67438 is 1.

Also check out the Least Common Multiple of 67425 and 67438