What is the Greatest Common Factor of 97818 and 97832?

Greatest common factor (GCF) of 97818 and 97832 is 14.

GCF(97818,97832) = 14

We will now calculate the prime factors of 97818 and 97832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97818 and 97832.

How to find the GCF of 97818 and 97832?

We will first find the prime factorization of 97818 and 97832. After we will calculate the factors of 97818 and 97832 and find the biggest common factor number .

Step-1: Prime Factorization of 97818

Prime factors of 97818 are 2, 3, 7, 17, 137. Prime factorization of 97818 in exponential form is:

97818 = 2¹ × 3¹ × 7¹ × 17¹ × 137¹

Step-2: Prime Factorization of 97832

Prime factors of 97832 are 2, 7, 1747. Prime factorization of 97832 in exponential form is:

97832 = 2³ × 7¹ × 1747¹

Step-3: Factors of 97818

List of positive integer factors of 97818 that divides 97818 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 137, 238, 274, 357, 411, 714, 822, 959, 1918, 2329, 2877, 4658, 5754, 6987, 13974, 16303, 32606, 48909

Step-4: Factors of 97832

List of positive integer factors of 97832 that divides 97818 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1747, 3494, 6988, 12229, 13976, 24458, 48916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97818 and 97832. The biggest common factor number is the GCF number.
So the greatest common factor 97818 and 97832 is 14.

Also check out the Least Common Multiple of 97818 and 97832