What is the Greatest Common Factor of 53222 and 53235?

Greatest common factor (GCF) of 53222 and 53235 is 13.

GCF(53222,53235) = 13

We will now calculate the prime factors of 53222 and 53235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53222 and 53235.

How to find the GCF of 53222 and 53235?

We will first find the prime factorization of 53222 and 53235. After we will calculate the factors of 53222 and 53235 and find the biggest common factor number .

Step-1: Prime Factorization of 53222

Prime factors of 53222 are 2, 13, 23, 89. Prime factorization of 53222 in exponential form is:

53222 = 2¹ × 13¹ × 23¹ × 89¹

Step-2: Prime Factorization of 53235

Prime factors of 53235 are 3, 5, 7, 13. Prime factorization of 53235 in exponential form is:

53235 = 3² × 5¹ × 7¹ × 13²

Step-3: Factors of 53222

List of positive integer factors of 53222 that divides 53222 without a remainder.

1, 2, 13, 23, 26, 46, 89, 178, 299, 598, 1157, 2047, 2314, 4094, 26611

Step-4: Factors of 53235

List of positive integer factors of 53235 that divides 53222 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 169, 195, 273, 315, 455, 507, 585, 819, 845, 1183, 1365, 1521, 2535, 3549, 4095, 5915, 7605, 10647, 17745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53222 and 53235. The biggest common factor number is the GCF number.
So the greatest common factor 53222 and 53235 is 13.

Also check out the Least Common Multiple of 53222 and 53235