What is the Greatest Common Factor of 97500 and 97507?

Greatest common factor (GCF) of 97500 and 97507 is 1.

GCF(97500,97507) = 1

We will now calculate the prime factors of 97500 and 97507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97500 and 97507.

How to find the GCF of 97500 and 97507?

We will first find the prime factorization of 97500 and 97507. After we will calculate the factors of 97500 and 97507 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97507

Prime factors of 97507 are 281, 347. Prime factorization of 97507 in exponential form is:

97507 = 281¹ × 347¹

Step-3: Factors of 97500

List of positive integer factors of 97500 that divides 97500 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

Step-4: Factors of 97507

List of positive integer factors of 97507 that divides 97500 without a remainder.

1, 281, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97500 and 97507. The biggest common factor number is the GCF number.
So the greatest common factor 97500 and 97507 is 1.

Also check out the Least Common Multiple of 97500 and 97507