What is the Greatest Common Factor of 80532 and 80546?

Greatest common factor (GCF) of 80532 and 80546 is 2.

GCF(80532,80546) = 2

We will now calculate the prime factors of 80532 and 80546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80532 and 80546.

How to find the GCF of 80532 and 80546?

We will first find the prime factorization of 80532 and 80546. After we will calculate the factors of 80532 and 80546 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 80546

Prime factors of 80546 are 2, 17, 23, 103. Prime factorization of 80546 in exponential form is:

80546 = 2¹ × 17¹ × 23¹ × 103¹

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 80546

List of positive integer factors of 80546 that divides 80532 without a remainder.

1, 2, 17, 23, 34, 46, 103, 206, 391, 782, 1751, 2369, 3502, 4738, 40273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80532 and 80546. The biggest common factor number is the GCF number.
So the greatest common factor 80532 and 80546 is 2.

Also check out the Least Common Multiple of 80532 and 80546