What is the Greatest Common Factor of 60966 and 60976?

Greatest common factor (GCF) of 60966 and 60976 is 2.

GCF(60966,60976) = 2

We will now calculate the prime factors of 60966 and 60976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60966 and 60976.

How to find the GCF of 60966 and 60976?

We will first find the prime factorization of 60966 and 60976. After we will calculate the factors of 60966 and 60976 and find the biggest common factor number .

Step-1: Prime Factorization of 60966

Prime factors of 60966 are 2, 3, 1129. Prime factorization of 60966 in exponential form is:

60966 = 2¹ × 3³ × 1129¹

Step-2: Prime Factorization of 60976

Prime factors of 60976 are 2, 37, 103. Prime factorization of 60976 in exponential form is:

60976 = 2⁴ × 37¹ × 103¹

Step-3: Factors of 60966

List of positive integer factors of 60966 that divides 60966 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1129, 2258, 3387, 6774, 10161, 20322, 30483

Step-4: Factors of 60976

List of positive integer factors of 60976 that divides 60966 without a remainder.

1, 2, 4, 8, 16, 37, 74, 103, 148, 206, 296, 412, 592, 824, 1648, 3811, 7622, 15244, 30488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60966 and 60976. The biggest common factor number is the GCF number.
So the greatest common factor 60966 and 60976 is 2.

Also check out the Least Common Multiple of 60966 and 60976