What is the Greatest Common Factor of 98612 and 98622?

Greatest common factor (GCF) of 98612 and 98622 is 2.

GCF(98612,98622) = 2

We will now calculate the prime factors of 98612 and 98622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98612 and 98622.

How to find the GCF of 98612 and 98622?

We will first find the prime factorization of 98612 and 98622. After we will calculate the factors of 98612 and 98622 and find the biggest common factor number .

Step-1: Prime Factorization of 98612

Prime factors of 98612 are 2, 89, 277. Prime factorization of 98612 in exponential form is:

98612 = 2² × 89¹ × 277¹

Step-2: Prime Factorization of 98622

Prime factors of 98622 are 2, 3, 5479. Prime factorization of 98622 in exponential form is:

98622 = 2¹ × 3² × 5479¹

Step-3: Factors of 98612

List of positive integer factors of 98612 that divides 98612 without a remainder.

1, 2, 4, 89, 178, 277, 356, 554, 1108, 24653, 49306

Step-4: Factors of 98622

List of positive integer factors of 98622 that divides 98612 without a remainder.

1, 2, 3, 6, 9, 18, 5479, 10958, 16437, 32874, 49311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98612 and 98622. The biggest common factor number is the GCF number.
So the greatest common factor 98612 and 98622 is 2.

Also check out the Least Common Multiple of 98612 and 98622