What is the Greatest Common Factor of 47532 and 47549?

Greatest common factor (GCF) of 47532 and 47549 is 17.

GCF(47532,47549) = 17

We will now calculate the prime factors of 47532 and 47549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47532 and 47549.

How to find the GCF of 47532 and 47549?

We will first find the prime factorization of 47532 and 47549. After we will calculate the factors of 47532 and 47549 and find the biggest common factor number .

Step-1: Prime Factorization of 47532

Prime factors of 47532 are 2, 3, 17, 233. Prime factorization of 47532 in exponential form is:

47532 = 2² × 3¹ × 17¹ × 233¹

Step-2: Prime Factorization of 47549

Prime factors of 47549 are 17, 2797. Prime factorization of 47549 in exponential form is:

47549 = 17¹ × 2797¹

Step-3: Factors of 47532

List of positive integer factors of 47532 that divides 47532 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 233, 466, 699, 932, 1398, 2796, 3961, 7922, 11883, 15844, 23766

Step-4: Factors of 47549

List of positive integer factors of 47549 that divides 47532 without a remainder.

1, 17, 2797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47532 and 47549. The biggest common factor number is the GCF number.
So the greatest common factor 47532 and 47549 is 17.

Also check out the Least Common Multiple of 47532 and 47549