What is the Greatest Common Factor of 2 and 60?

Greatest common factor (GCF) of 2 and 60 is 2.

GCF(2,60) = 2

We will now calculate the prime factors of 2 and 60, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2 and 60.

How to find the GCF of 2 and 60?

We will first find the prime factorization of 2 and 60. After we will calculate the factors of 2 and 60 and find the biggest common factor number .

Step-1: Prime Factorization of 2

Prime factors of 2 are 2. Prime factorization of 2 in exponential form is:

2 = 2¹

Step-2: Prime Factorization of 60

Prime factors of 60 are 2, 3, 5. Prime factorization of 60 in exponential form is:

60 = 2² × 3¹ × 5¹

Step-3: Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

Step-4: Factors of 60

List of positive integer factors of 60 that divides 2 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2 and 60. The biggest common factor number is the GCF number.
So the greatest common factor 2 and 60 is 2.

Also check out the Least Common Multiple of 2 and 60