What is the Greatest Common Factor of 97488 and 97494?

Greatest common factor (GCF) of 97488 and 97494 is 6.

GCF(97488,97494) = 6

We will now calculate the prime factors of 97488 and 97494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97488 and 97494.

How to find the GCF of 97488 and 97494?

We will first find the prime factorization of 97488 and 97494. After we will calculate the factors of 97488 and 97494 and find the biggest common factor number .

Step-1: Prime Factorization of 97488

Prime factors of 97488 are 2, 3, 677. Prime factorization of 97488 in exponential form is:

97488 = 2⁴ × 3² × 677¹

Step-2: Prime Factorization of 97494

Prime factors of 97494 are 2, 3, 16249. Prime factorization of 97494 in exponential form is:

97494 = 2¹ × 3¹ × 16249¹

Step-3: Factors of 97488

List of positive integer factors of 97488 that divides 97488 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 677, 1354, 2031, 2708, 4062, 5416, 6093, 8124, 10832, 12186, 16248, 24372, 32496, 48744

Step-4: Factors of 97494

List of positive integer factors of 97494 that divides 97488 without a remainder.

1, 2, 3, 6, 16249, 32498, 48747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97488 and 97494. The biggest common factor number is the GCF number.
So the greatest common factor 97488 and 97494 is 6.

Also check out the Least Common Multiple of 97488 and 97494