What is the Greatest Common Factor of 45262 and 45274?

Greatest common factor (GCF) of 45262 and 45274 is 2.

GCF(45262,45274) = 2

We will now calculate the prime factors of 45262 and 45274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45262 and 45274.

How to find the GCF of 45262 and 45274?

We will first find the prime factorization of 45262 and 45274. After we will calculate the factors of 45262 and 45274 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 45274

Prime factors of 45274 are 2, 22637. Prime factorization of 45274 in exponential form is:

45274 = 2¹ × 22637¹

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 45274

List of positive integer factors of 45274 that divides 45262 without a remainder.

1, 2, 22637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45262 and 45274. The biggest common factor number is the GCF number.
So the greatest common factor 45262 and 45274 is 2.

Also check out the Least Common Multiple of 45262 and 45274