What is the Greatest Common Factor of 97475 and 97488?

Greatest common factor (GCF) of 97475 and 97488 is 1.

GCF(97475,97488) = 1

We will now calculate the prime factors of 97475 and 97488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97475 and 97488.

How to find the GCF of 97475 and 97488?

We will first find the prime factorization of 97475 and 97488. After we will calculate the factors of 97475 and 97488 and find the biggest common factor number .

Step-1: Prime Factorization of 97475

Prime factors of 97475 are 5, 7, 557. Prime factorization of 97475 in exponential form is:

97475 = 5² × 7¹ × 557¹

Step-2: 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-3: Factors of 97475

List of positive integer factors of 97475 that divides 97475 without a remainder.

1, 5, 7, 25, 35, 175, 557, 2785, 3899, 13925, 19495

Step-4: Factors of 97488

List of positive integer factors of 97488 that divides 97475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97475 and 97488. The biggest common factor number is the GCF number.
So the greatest common factor 97475 and 97488 is 1.

Also check out the Least Common Multiple of 97475 and 97488