What is the Greatest Common Factor of 97032 and 97046?

Greatest common factor (GCF) of 97032 and 97046 is 2.

GCF(97032,97046) = 2

We will now calculate the prime factors of 97032 and 97046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97032 and 97046.

How to find the GCF of 97032 and 97046?

We will first find the prime factorization of 97032 and 97046. After we will calculate the factors of 97032 and 97046 and find the biggest common factor number .

Step-1: Prime Factorization of 97032

Prime factors of 97032 are 2, 3, 13, 311. Prime factorization of 97032 in exponential form is:

97032 = 2³ × 3¹ × 13¹ × 311¹

Step-2: Prime Factorization of 97046

Prime factors of 97046 are 2, 48523. Prime factorization of 97046 in exponential form is:

97046 = 2¹ × 48523¹

Step-3: Factors of 97032

List of positive integer factors of 97032 that divides 97032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 311, 312, 622, 933, 1244, 1866, 2488, 3732, 4043, 7464, 8086, 12129, 16172, 24258, 32344, 48516

Step-4: Factors of 97046

List of positive integer factors of 97046 that divides 97032 without a remainder.

1, 2, 48523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97032 and 97046. The biggest common factor number is the GCF number.
So the greatest common factor 97032 and 97046 is 2.

Also check out the Least Common Multiple of 97032 and 97046