What is the Greatest Common Factor of 73421 and 73425?

Greatest common factor (GCF) of 73421 and 73425 is 1.

GCF(73421,73425) = 1

We will now calculate the prime factors of 73421 and 73425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73421 and 73425.

How to find the GCF of 73421 and 73425?

We will first find the prime factorization of 73421 and 73425. After we will calculate the factors of 73421 and 73425 and find the biggest common factor number .

Step-1: Prime Factorization of 73421

Prime factors of 73421 are 73421. Prime factorization of 73421 in exponential form is:

73421 = 73421¹

Step-2: Prime Factorization of 73425

Prime factors of 73425 are 3, 5, 11, 89. Prime factorization of 73425 in exponential form is:

73425 = 3¹ × 5² × 11¹ × 89¹

Step-3: Factors of 73421

List of positive integer factors of 73421 that divides 73421 without a remainder.

Step-4: Factors of 73425

List of positive integer factors of 73425 that divides 73421 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 89, 165, 267, 275, 445, 825, 979, 1335, 2225, 2937, 4895, 6675, 14685, 24475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73421 and 73425. The biggest common factor number is the GCF number.
So the greatest common factor 73421 and 73425 is 1.

Also check out the Least Common Multiple of 73421 and 73425