What is the Greatest Common Factor of 45521 and 45528?

Greatest common factor (GCF) of 45521 and 45528 is 7.

GCF(45521,45528) = 7

We will now calculate the prime factors of 45521 and 45528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45521 and 45528.

How to find the GCF of 45521 and 45528?

We will first find the prime factorization of 45521 and 45528. After we will calculate the factors of 45521 and 45528 and find the biggest common factor number .

Step-1: Prime Factorization of 45521

Prime factors of 45521 are 7, 929. Prime factorization of 45521 in exponential form is:

45521 = 7² × 929¹

Step-2: Prime Factorization of 45528

Prime factors of 45528 are 2, 3, 7, 271. Prime factorization of 45528 in exponential form is:

45528 = 2³ × 3¹ × 7¹ × 271¹

Step-3: Factors of 45521

List of positive integer factors of 45521 that divides 45521 without a remainder.

1, 7, 49, 929, 6503

Step-4: Factors of 45528

List of positive integer factors of 45528 that divides 45521 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 271, 542, 813, 1084, 1626, 1897, 2168, 3252, 3794, 5691, 6504, 7588, 11382, 15176, 22764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45521 and 45528. The biggest common factor number is the GCF number.
So the greatest common factor 45521 and 45528 is 7.

Also check out the Least Common Multiple of 45521 and 45528