What is the Greatest Common Factor of 97480 and 97500?

Greatest common factor (GCF) of 97480 and 97500 is 20.

GCF(97480,97500) = 20

We will now calculate the prime factors of 97480 and 97500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97480 and 97500.

How to find the GCF of 97480 and 97500?

We will first find the prime factorization of 97480 and 97500. After we will calculate the factors of 97480 and 97500 and find the biggest common factor number .

Step-1: Prime Factorization of 97480

Prime factors of 97480 are 2, 5, 2437. Prime factorization of 97480 in exponential form is:

97480 = 2³ × 5¹ × 2437¹

Step-2: Prime Factorization of 97500

Prime factors of 97500 are 2, 3, 5, 13. Prime factorization of 97500 in exponential form is:

97500 = 2² × 3¹ × 5⁴ × 13¹

Step-3: Factors of 97480

List of positive integer factors of 97480 that divides 97480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2437, 4874, 9748, 12185, 19496, 24370, 48740

Step-4: Factors of 97500

List of positive integer factors of 97500 that divides 97480 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 125, 130, 150, 156, 195, 250, 260, 300, 325, 375, 390, 500, 625, 650, 750, 780, 975, 1250, 1300, 1500, 1625, 1875, 1950, 2500, 3250, 3750, 3900, 4875, 6500, 7500, 8125, 9750, 16250, 19500, 24375, 32500, 48750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97480 and 97500. The biggest common factor number is the GCF number.
So the greatest common factor 97480 and 97500 is 20.

Also check out the Least Common Multiple of 97480 and 97500