What is the Greatest Common Factor of 45269 and 45276?

Greatest common factor (GCF) of 45269 and 45276 is 7.

GCF(45269,45276) = 7

We will now calculate the prime factors of 45269 and 45276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45269 and 45276.

How to find the GCF of 45269 and 45276?

We will first find the prime factorization of 45269 and 45276. After we will calculate the factors of 45269 and 45276 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45276

Prime factors of 45276 are 2, 3, 7, 11. Prime factorization of 45276 in exponential form is:

45276 = 2² × 3¹ × 7³ × 11¹

Step-3: Factors of 45269

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

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

Step-4: Factors of 45276

List of positive integer factors of 45276 that divides 45269 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 132, 147, 154, 196, 231, 294, 308, 343, 462, 539, 588, 686, 924, 1029, 1078, 1372, 1617, 2058, 2156, 3234, 3773, 4116, 6468, 7546, 11319, 15092, 22638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45269 and 45276. The biggest common factor number is the GCF number.
So the greatest common factor 45269 and 45276 is 7.

Also check out the Least Common Multiple of 45269 and 45276