What is the Greatest Common Factor of 60969 and 60981?

Greatest common factor (GCF) of 60969 and 60981 is 3.

GCF(60969,60981) = 3

We will now calculate the prime factors of 60969 and 60981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60969 and 60981.

How to find the GCF of 60969 and 60981?

We will first find the prime factorization of 60969 and 60981. After we will calculate the factors of 60969 and 60981 and find the biggest common factor number .

Step-1: Prime Factorization of 60969

Prime factors of 60969 are 3, 20323. Prime factorization of 60969 in exponential form is:

60969 = 3¹ × 20323¹

Step-2: Prime Factorization of 60981

Prime factors of 60981 are 3, 20327. Prime factorization of 60981 in exponential form is:

60981 = 3¹ × 20327¹

Step-3: Factors of 60969

List of positive integer factors of 60969 that divides 60969 without a remainder.

1, 3, 20323

Step-4: Factors of 60981

List of positive integer factors of 60981 that divides 60969 without a remainder.

1, 3, 20327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60969 and 60981. The biggest common factor number is the GCF number.
So the greatest common factor 60969 and 60981 is 3.

Also check out the Least Common Multiple of 60969 and 60981