What is the Greatest Common Factor of 60509 and 60520?

Greatest common factor (GCF) of 60509 and 60520 is 1.

GCF(60509,60520) = 1

We will now calculate the prime factors of 60509 and 60520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60509 and 60520.

How to find the GCF of 60509 and 60520?

We will first find the prime factorization of 60509 and 60520. After we will calculate the factors of 60509 and 60520 and find the biggest common factor number .

Step-1: Prime Factorization of 60509

Prime factors of 60509 are 60509. Prime factorization of 60509 in exponential form is:

60509 = 60509¹

Step-2: Prime Factorization of 60520

Prime factors of 60520 are 2, 5, 17, 89. Prime factorization of 60520 in exponential form is:

60520 = 2³ × 5¹ × 17¹ × 89¹

Step-3: Factors of 60509

List of positive integer factors of 60509 that divides 60509 without a remainder.

Step-4: Factors of 60520

List of positive integer factors of 60520 that divides 60509 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 89, 136, 170, 178, 340, 356, 445, 680, 712, 890, 1513, 1780, 3026, 3560, 6052, 7565, 12104, 15130, 30260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60509 and 60520. The biggest common factor number is the GCF number.
So the greatest common factor 60509 and 60520 is 1.

Also check out the Least Common Multiple of 60509 and 60520