What is the Greatest Common Factor of 97490 and 97500?

Greatest common factor (GCF) of 97490 and 97500 is 10.

GCF(97490,97500) = 10

We will now calculate the prime factors of 97490 and 97500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97490 and 97500.

How to find the GCF of 97490 and 97500?

We will first find the prime factorization of 97490 and 97500. After we will calculate the factors of 97490 and 97500 and find the biggest common factor number .

Step-1: Prime Factorization of 97490

Prime factors of 97490 are 2, 5, 9749. Prime factorization of 97490 in exponential form is:

97490 = 2¹ × 5¹ × 9749¹

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 97490

List of positive integer factors of 97490 that divides 97490 without a remainder.

1, 2, 5, 10, 9749, 19498, 48745

Step-4: Factors of 97500

List of positive integer factors of 97500 that divides 97490 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 97490 and 97500. The biggest common factor number is the GCF number.
So the greatest common factor 97490 and 97500 is 10.

Also check out the Least Common Multiple of 97490 and 97500