What is the Greatest Common Factor of 73507 and 73525?

Greatest common factor (GCF) of 73507 and 73525 is 1.

GCF(73507,73525) = 1

We will now calculate the prime factors of 73507 and 73525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73507 and 73525.

How to find the GCF of 73507 and 73525?

We will first find the prime factorization of 73507 and 73525. After we will calculate the factors of 73507 and 73525 and find the biggest common factor number .

Step-1: Prime Factorization of 73507

Prime factors of 73507 are 7, 10501. Prime factorization of 73507 in exponential form is:

73507 = 7¹ × 10501¹

Step-2: Prime Factorization of 73525

Prime factors of 73525 are 5, 17, 173. Prime factorization of 73525 in exponential form is:

73525 = 5² × 17¹ × 173¹

Step-3: Factors of 73507

List of positive integer factors of 73507 that divides 73507 without a remainder.

1, 7, 10501

Step-4: Factors of 73525

List of positive integer factors of 73525 that divides 73507 without a remainder.

1, 5, 17, 25, 85, 173, 425, 865, 2941, 4325, 14705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73507 and 73525. The biggest common factor number is the GCF number.
So the greatest common factor 73507 and 73525 is 1.

Also check out the Least Common Multiple of 73507 and 73525