What is the Greatest Common Factor of 60946 and 60952?

Greatest common factor (GCF) of 60946 and 60952 is 2.

GCF(60946,60952) = 2

We will now calculate the prime factors of 60946 and 60952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60946 and 60952.

How to find the GCF of 60946 and 60952?

We will first find the prime factorization of 60946 and 60952. After we will calculate the factors of 60946 and 60952 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60952

Prime factors of 60952 are 2, 19, 401. Prime factorization of 60952 in exponential form is:

60952 = 2³ × 19¹ × 401¹

Step-3: Factors of 60946

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

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

Step-4: Factors of 60952

List of positive integer factors of 60952 that divides 60946 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 401, 802, 1604, 3208, 7619, 15238, 30476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60946 and 60952. The biggest common factor number is the GCF number.
So the greatest common factor 60946 and 60952 is 2.

Also check out the Least Common Multiple of 60946 and 60952