What is the Greatest Common Factor of 52074 and 52085?

Greatest common factor (GCF) of 52074 and 52085 is 11.

GCF(52074,52085) = 11

We will now calculate the prime factors of 52074 and 52085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52074 and 52085.

How to find the GCF of 52074 and 52085?

We will first find the prime factorization of 52074 and 52085. After we will calculate the factors of 52074 and 52085 and find the biggest common factor number .

Step-1: Prime Factorization of 52074

Prime factors of 52074 are 2, 3, 11, 263. Prime factorization of 52074 in exponential form is:

52074 = 2¹ × 3² × 11¹ × 263¹

Step-2: Prime Factorization of 52085

Prime factors of 52085 are 5, 11, 947. Prime factorization of 52085 in exponential form is:

52085 = 5¹ × 11¹ × 947¹

Step-3: Factors of 52074

List of positive integer factors of 52074 that divides 52074 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 263, 526, 789, 1578, 2367, 2893, 4734, 5786, 8679, 17358, 26037

Step-4: Factors of 52085

List of positive integer factors of 52085 that divides 52074 without a remainder.

1, 5, 11, 55, 947, 4735, 10417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52074 and 52085. The biggest common factor number is the GCF number.
So the greatest common factor 52074 and 52085 is 11.

Also check out the Least Common Multiple of 52074 and 52085