What is the Greatest Common Factor of 52195 and 52208?

Greatest common factor (GCF) of 52195 and 52208 is 13.

GCF(52195,52208) = 13

We will now calculate the prime factors of 52195 and 52208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52195 and 52208.

How to find the GCF of 52195 and 52208?

We will first find the prime factorization of 52195 and 52208. After we will calculate the factors of 52195 and 52208 and find the biggest common factor number .

Step-1: Prime Factorization of 52195

Prime factors of 52195 are 5, 11, 13, 73. Prime factorization of 52195 in exponential form is:

52195 = 5¹ × 11¹ × 13¹ × 73¹

Step-2: Prime Factorization of 52208

Prime factors of 52208 are 2, 13, 251. Prime factorization of 52208 in exponential form is:

52208 = 2⁴ × 13¹ × 251¹

Step-3: Factors of 52195

List of positive integer factors of 52195 that divides 52195 without a remainder.

1, 5, 11, 13, 55, 65, 73, 143, 365, 715, 803, 949, 4015, 4745, 10439

Step-4: Factors of 52208

List of positive integer factors of 52208 that divides 52195 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 251, 502, 1004, 2008, 3263, 4016, 6526, 13052, 26104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52195 and 52208. The biggest common factor number is the GCF number.
So the greatest common factor 52195 and 52208 is 13.

Also check out the Least Common Multiple of 52195 and 52208