What is the Greatest Common Factor of 81612 and 81622?

Greatest common factor (GCF) of 81612 and 81622 is 2.

GCF(81612,81622) = 2

We will now calculate the prime factors of 81612 and 81622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81612 and 81622.

How to find the GCF of 81612 and 81622?

We will first find the prime factorization of 81612 and 81622. After we will calculate the factors of 81612 and 81622 and find the biggest common factor number .

Step-1: Prime Factorization of 81612

Prime factors of 81612 are 2, 3, 2267. Prime factorization of 81612 in exponential form is:

81612 = 2² × 3² × 2267¹

Step-2: Prime Factorization of 81622

Prime factors of 81622 are 2, 37, 1103. Prime factorization of 81622 in exponential form is:

81622 = 2¹ × 37¹ × 1103¹

Step-3: Factors of 81612

List of positive integer factors of 81612 that divides 81612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2267, 4534, 6801, 9068, 13602, 20403, 27204, 40806

Step-4: Factors of 81622

List of positive integer factors of 81622 that divides 81612 without a remainder.

1, 2, 37, 74, 1103, 2206, 40811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81612 and 81622. The biggest common factor number is the GCF number.
So the greatest common factor 81612 and 81622 is 2.

Also check out the Least Common Multiple of 81612 and 81622