What is the Greatest Common Factor of 45262 and 45269?

Greatest common factor (GCF) of 45262 and 45269 is 7.

GCF(45262,45269) = 7

We will now calculate the prime factors of 45262 and 45269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45262 and 45269.

How to find the GCF of 45262 and 45269?

We will first find the prime factorization of 45262 and 45269. After we will calculate the factors of 45262 and 45269 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 45269

Prime factors of 45269 are 7, 29, 223. Prime factorization of 45269 in exponential form is:

45269 = 7¹ × 29¹ × 223¹

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 45269

List of positive integer factors of 45269 that divides 45262 without a remainder.

1, 7, 29, 203, 223, 1561, 6467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45262 and 45269. The biggest common factor number is the GCF number.
So the greatest common factor 45262 and 45269 is 7.

Also check out the Least Common Multiple of 45262 and 45269