What is the Greatest Common Factor of 80532 and 80541?

Greatest common factor (GCF) of 80532 and 80541 is 9.

GCF(80532,80541) = 9

We will now calculate the prime factors of 80532 and 80541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80532 and 80541.

How to find the GCF of 80532 and 80541?

We will first find the prime factorization of 80532 and 80541. After we will calculate the factors of 80532 and 80541 and find the biggest common factor number .

Step-1: Prime Factorization of 80532

Prime factors of 80532 are 2, 3, 2237. Prime factorization of 80532 in exponential form is:

80532 = 2² × 3² × 2237¹

Step-2: Prime Factorization of 80541

Prime factors of 80541 are 3, 19, 157. Prime factorization of 80541 in exponential form is:

80541 = 3³ × 19¹ × 157¹

Step-3: Factors of 80532

List of positive integer factors of 80532 that divides 80532 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2237, 4474, 6711, 8948, 13422, 20133, 26844, 40266

Step-4: Factors of 80541

List of positive integer factors of 80541 that divides 80532 without a remainder.

1, 3, 9, 19, 27, 57, 157, 171, 471, 513, 1413, 2983, 4239, 8949, 26847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80532 and 80541. The biggest common factor number is the GCF number.
So the greatest common factor 80532 and 80541 is 9.

Also check out the Least Common Multiple of 80532 and 80541