What is the Greatest Common Factor of 45255 and 45262?

Greatest common factor (GCF) of 45255 and 45262 is 7.

GCF(45255,45262) = 7

We will now calculate the prime factors of 45255 and 45262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45255 and 45262.

How to find the GCF of 45255 and 45262?

We will first find the prime factorization of 45255 and 45262. After we will calculate the factors of 45255 and 45262 and find the biggest common factor number .

Step-1: Prime Factorization of 45255

Prime factors of 45255 are 3, 5, 7, 431. Prime factorization of 45255 in exponential form is:

45255 = 3¹ × 5¹ × 7¹ × 431¹

Step-2: Prime Factorization of 45262

Prime factors of 45262 are 2, 7, 53, 61. Prime factorization of 45262 in exponential form is:

45262 = 2¹ × 7¹ × 53¹ × 61¹

Step-3: Factors of 45255

List of positive integer factors of 45255 that divides 45255 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 431, 1293, 2155, 3017, 6465, 9051, 15085

Step-4: Factors of 45262

List of positive integer factors of 45262 that divides 45255 without a remainder.

1, 2, 7, 14, 53, 61, 106, 122, 371, 427, 742, 854, 3233, 6466, 22631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45255 and 45262. The biggest common factor number is the GCF number.
So the greatest common factor 45255 and 45262 is 7.

Also check out the Least Common Multiple of 45255 and 45262