What is the Greatest Common Factor of 73515 and 73535?

Greatest common factor (GCF) of 73515 and 73535 is 5.

GCF(73515,73535) = 5

We will now calculate the prime factors of 73515 and 73535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73515 and 73535.

How to find the GCF of 73515 and 73535?

We will first find the prime factorization of 73515 and 73535. After we will calculate the factors of 73515 and 73535 and find the biggest common factor number .

Step-1: Prime Factorization of 73515

Prime factors of 73515 are 3, 5, 13, 29. Prime factorization of 73515 in exponential form is:

73515 = 3¹ × 5¹ × 13² × 29¹

Step-2: Prime Factorization of 73535

Prime factors of 73535 are 5, 7, 11, 191. Prime factorization of 73535 in exponential form is:

73535 = 5¹ × 7¹ × 11¹ × 191¹

Step-3: Factors of 73515

List of positive integer factors of 73515 that divides 73515 without a remainder.

1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 169, 195, 377, 435, 507, 845, 1131, 1885, 2535, 4901, 5655, 14703, 24505

Step-4: Factors of 73535

List of positive integer factors of 73535 that divides 73515 without a remainder.

1, 5, 7, 11, 35, 55, 77, 191, 385, 955, 1337, 2101, 6685, 10505, 14707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73515 and 73535. The biggest common factor number is the GCF number.
So the greatest common factor 73515 and 73535 is 5.

Also check out the Least Common Multiple of 73515 and 73535