What is the Greatest Common Factor of 73415 and 73425?

Greatest common factor (GCF) of 73415 and 73425 is 5.

GCF(73415,73425) = 5

We will now calculate the prime factors of 73415 and 73425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73415 and 73425.

How to find the GCF of 73415 and 73425?

We will first find the prime factorization of 73415 and 73425. After we will calculate the factors of 73415 and 73425 and find the biggest common factor number .

Step-1: Prime Factorization of 73415

Prime factors of 73415 are 5, 14683. Prime factorization of 73415 in exponential form is:

73415 = 5¹ × 14683¹

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 73415

List of positive integer factors of 73415 that divides 73415 without a remainder.

1, 5, 14683

Step-4: Factors of 73425

List of positive integer factors of 73425 that divides 73415 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 73415 and 73425. The biggest common factor number is the GCF number.
So the greatest common factor 73415 and 73425 is 5.

Also check out the Least Common Multiple of 73415 and 73425