What is the Greatest Common Factor of 60932 and 60946?

Greatest common factor (GCF) of 60932 and 60946 is 2.

GCF(60932,60946) = 2

We will now calculate the prime factors of 60932 and 60946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60932 and 60946.

How to find the GCF of 60932 and 60946?

We will first find the prime factorization of 60932 and 60946. After we will calculate the factors of 60932 and 60946 and find the biggest common factor number .

Step-1: Prime Factorization of 60932

Prime factors of 60932 are 2, 15233. Prime factorization of 60932 in exponential form is:

60932 = 2² × 15233¹

Step-2: Prime Factorization of 60946

Prime factors of 60946 are 2, 31, 983. Prime factorization of 60946 in exponential form is:

60946 = 2¹ × 31¹ × 983¹

Step-3: Factors of 60932

List of positive integer factors of 60932 that divides 60932 without a remainder.

1, 2, 4, 15233, 30466

Step-4: Factors of 60946

List of positive integer factors of 60946 that divides 60932 without a remainder.

1, 2, 31, 62, 983, 1966, 30473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60932 and 60946. The biggest common factor number is the GCF number.
So the greatest common factor 60932 and 60946 is 2.

Also check out the Least Common Multiple of 60932 and 60946