What is the Greatest Common Factor of 45262 and 45272?

Greatest common factor (GCF) of 45262 and 45272 is 2.

GCF(45262,45272) = 2

We will now calculate the prime factors of 45262 and 45272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45262 and 45272.

How to find the GCF of 45262 and 45272?

We will first find the prime factorization of 45262 and 45272. After we will calculate the factors of 45262 and 45272 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45272

Prime factors of 45272 are 2, 5659. Prime factorization of 45272 in exponential form is:

45272 = 2³ × 5659¹

Step-3: Factors of 45262

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

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

Step-4: Factors of 45272

List of positive integer factors of 45272 that divides 45262 without a remainder.

1, 2, 4, 8, 5659, 11318, 22636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45262 and 45272. The biggest common factor number is the GCF number.
So the greatest common factor 45262 and 45272 is 2.

Also check out the Least Common Multiple of 45262 and 45272