What is the Greatest Common Factor of 73415 and 73432?

Greatest common factor (GCF) of 73415 and 73432 is 1.

GCF(73415,73432) = 1

We will now calculate the prime factors of 73415 and 73432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73415 and 73432.

How to find the GCF of 73415 and 73432?

We will first find the prime factorization of 73415 and 73432. After we will calculate the factors of 73415 and 73432 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 73432

Prime factors of 73432 are 2, 67, 137. Prime factorization of 73432 in exponential form is:

73432 = 2³ × 67¹ × 137¹

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 73432

List of positive integer factors of 73432 that divides 73415 without a remainder.

1, 2, 4, 8, 67, 134, 137, 268, 274, 536, 548, 1096, 9179, 18358, 36716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73415 and 73432. The biggest common factor number is the GCF number.
So the greatest common factor 73415 and 73432 is 1.

Also check out the Least Common Multiple of 73415 and 73432