What is the Greatest Common Factor of 45528 and 45535?

Greatest common factor (GCF) of 45528 and 45535 is 7.

GCF(45528,45535) = 7

We will now calculate the prime factors of 45528 and 45535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45528 and 45535.

How to find the GCF of 45528 and 45535?

We will first find the prime factorization of 45528 and 45535. After we will calculate the factors of 45528 and 45535 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45535

Prime factors of 45535 are 5, 7, 1301. Prime factorization of 45535 in exponential form is:

45535 = 5¹ × 7¹ × 1301¹

Step-3: Factors of 45528

List of positive integer factors of 45528 that divides 45528 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

Step-4: Factors of 45535

List of positive integer factors of 45535 that divides 45528 without a remainder.

1, 5, 7, 35, 1301, 6505, 9107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45528 and 45535. The biggest common factor number is the GCF number.
So the greatest common factor 45528 and 45535 is 7.

Also check out the Least Common Multiple of 45528 and 45535