What is the Greatest Common Factor of 52052 and 52066?

Greatest common factor (GCF) of 52052 and 52066 is 14.

GCF(52052,52066) = 14

We will now calculate the prime factors of 52052 and 52066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52052 and 52066.

How to find the GCF of 52052 and 52066?

We will first find the prime factorization of 52052 and 52066. After we will calculate the factors of 52052 and 52066 and find the biggest common factor number .

Step-1: Prime Factorization of 52052

Prime factors of 52052 are 2, 7, 11, 13. Prime factorization of 52052 in exponential form is:

52052 = 2² × 7¹ × 11¹ × 13²

Step-2: Prime Factorization of 52066

Prime factors of 52066 are 2, 7, 3719. Prime factorization of 52066 in exponential form is:

52066 = 2¹ × 7¹ × 3719¹

Step-3: Factors of 52052

List of positive integer factors of 52052 that divides 52052 without a remainder.

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 169, 182, 286, 308, 338, 364, 572, 676, 1001, 1183, 1859, 2002, 2366, 3718, 4004, 4732, 7436, 13013, 26026

Step-4: Factors of 52066

List of positive integer factors of 52066 that divides 52052 without a remainder.

1, 2, 7, 14, 3719, 7438, 26033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52052 and 52066. The biggest common factor number is the GCF number.
So the greatest common factor 52052 and 52066 is 14.

Also check out the Least Common Multiple of 52052 and 52066