What is the Greatest Common Factor of 85052 and 85063?

Greatest common factor (GCF) of 85052 and 85063 is 11.

GCF(85052,85063) = 11

We will now calculate the prime factors of 85052 and 85063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85052 and 85063.

How to find the GCF of 85052 and 85063?

We will first find the prime factorization of 85052 and 85063. After we will calculate the factors of 85052 and 85063 and find the biggest common factor number .

Step-1: Prime Factorization of 85052

Prime factors of 85052 are 2, 11, 1933. Prime factorization of 85052 in exponential form is:

85052 = 2² × 11¹ × 1933¹

Step-2: Prime Factorization of 85063

Prime factors of 85063 are 11, 19, 37. Prime factorization of 85063 in exponential form is:

85063 = 11² × 19¹ × 37¹

Step-3: Factors of 85052

List of positive integer factors of 85052 that divides 85052 without a remainder.

1, 2, 4, 11, 22, 44, 1933, 3866, 7732, 21263, 42526

Step-4: Factors of 85063

List of positive integer factors of 85063 that divides 85052 without a remainder.

1, 11, 19, 37, 121, 209, 407, 703, 2299, 4477, 7733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85052 and 85063. The biggest common factor number is the GCF number.
So the greatest common factor 85052 and 85063 is 11.

Also check out the Least Common Multiple of 85052 and 85063