What is the Greatest Common Factor of 67509 and 67520?

Greatest common factor (GCF) of 67509 and 67520 is 1.

GCF(67509,67520) = 1

We will now calculate the prime factors of 67509 and 67520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67509 and 67520.

How to find the GCF of 67509 and 67520?

We will first find the prime factorization of 67509 and 67520. After we will calculate the factors of 67509 and 67520 and find the biggest common factor number .

Step-1: Prime Factorization of 67509

Prime factors of 67509 are 3, 13, 577. Prime factorization of 67509 in exponential form is:

67509 = 3² × 13¹ × 577¹

Step-2: Prime Factorization of 67520

Prime factors of 67520 are 2, 5, 211. Prime factorization of 67520 in exponential form is:

67520 = 2⁶ × 5¹ × 211¹

Step-3: Factors of 67509

List of positive integer factors of 67509 that divides 67509 without a remainder.

1, 3, 9, 13, 39, 117, 577, 1731, 5193, 7501, 22503

Step-4: Factors of 67520

List of positive integer factors of 67520 that divides 67509 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 211, 320, 422, 844, 1055, 1688, 2110, 3376, 4220, 6752, 8440, 13504, 16880, 33760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67509 and 67520. The biggest common factor number is the GCF number.
So the greatest common factor 67509 and 67520 is 1.

Also check out the Least Common Multiple of 67509 and 67520