What is the Greatest Common Factor of 30612 and 30626?

Greatest common factor (GCF) of 30612 and 30626 is 2.

GCF(30612,30626) = 2

We will now calculate the prime factors of 30612 and 30626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30612 and 30626.

How to find the GCF of 30612 and 30626?

We will first find the prime factorization of 30612 and 30626. After we will calculate the factors of 30612 and 30626 and find the biggest common factor number .

Step-1: Prime Factorization of 30612

Prime factors of 30612 are 2, 3, 2551. Prime factorization of 30612 in exponential form is:

30612 = 2² × 3¹ × 2551¹

Step-2: Prime Factorization of 30626

Prime factors of 30626 are 2, 15313. Prime factorization of 30626 in exponential form is:

30626 = 2¹ × 15313¹

Step-3: Factors of 30612

List of positive integer factors of 30612 that divides 30612 without a remainder.

1, 2, 3, 4, 6, 12, 2551, 5102, 7653, 10204, 15306

Step-4: Factors of 30626

List of positive integer factors of 30626 that divides 30612 without a remainder.

1, 2, 15313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30612 and 30626. The biggest common factor number is the GCF number.
So the greatest common factor 30612 and 30626 is 2.

Also check out the Least Common Multiple of 30612 and 30626