What is the Greatest Common Factor of 80532 and 80538?

Greatest common factor (GCF) of 80532 and 80538 is 6.

GCF(80532,80538) = 6

We will now calculate the prime factors of 80532 and 80538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80532 and 80538.

How to find the GCF of 80532 and 80538?

We will first find the prime factorization of 80532 and 80538. After we will calculate the factors of 80532 and 80538 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 80538

Prime factors of 80538 are 2, 3, 31, 433. Prime factorization of 80538 in exponential form is:

80538 = 2¹ × 3¹ × 31¹ × 433¹

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 80538

List of positive integer factors of 80538 that divides 80532 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 433, 866, 1299, 2598, 13423, 26846, 40269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80532 and 80538. The biggest common factor number is the GCF number.
So the greatest common factor 80532 and 80538 is 6.

Also check out the Least Common Multiple of 80532 and 80538