What is the Greatest Common Factor of 45250 and 45262?

Greatest common factor (GCF) of 45250 and 45262 is 2.

GCF(45250,45262) = 2

We will now calculate the prime factors of 45250 and 45262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45250 and 45262.

How to find the GCF of 45250 and 45262?

We will first find the prime factorization of 45250 and 45262. After we will calculate the factors of 45250 and 45262 and find the biggest common factor number .

Step-1: Prime Factorization of 45250

Prime factors of 45250 are 2, 5, 181. Prime factorization of 45250 in exponential form is:

45250 = 2¹ × 5³ × 181¹

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 45250

List of positive integer factors of 45250 that divides 45250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 181, 250, 362, 905, 1810, 4525, 9050, 22625

Step-4: Factors of 45262

List of positive integer factors of 45262 that divides 45250 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 45250 and 45262. The biggest common factor number is the GCF number.
So the greatest common factor 45250 and 45262 is 2.

Also check out the Least Common Multiple of 45250 and 45262