What is the Greatest Common Factor of 97740 and 97755?

Greatest common factor (GCF) of 97740 and 97755 is 15.

GCF(97740,97755) = 15

We will now calculate the prime factors of 97740 and 97755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97740 and 97755.

How to find the GCF of 97740 and 97755?

We will first find the prime factorization of 97740 and 97755. After we will calculate the factors of 97740 and 97755 and find the biggest common factor number .

Step-1: Prime Factorization of 97740

Prime factors of 97740 are 2, 3, 5, 181. Prime factorization of 97740 in exponential form is:

97740 = 2² × 3³ × 5¹ × 181¹

Step-2: Prime Factorization of 97755

Prime factors of 97755 are 3, 5, 7, 19. Prime factorization of 97755 in exponential form is:

97755 = 3¹ × 5¹ × 7³ × 19¹

Step-3: Factors of 97740

List of positive integer factors of 97740 that divides 97740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 181, 270, 362, 540, 543, 724, 905, 1086, 1629, 1810, 2172, 2715, 3258, 3620, 4887, 5430, 6516, 8145, 9774, 10860, 16290, 19548, 24435, 32580, 48870

Step-4: Factors of 97755

List of positive integer factors of 97755 that divides 97740 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 49, 57, 95, 105, 133, 147, 245, 285, 343, 399, 665, 735, 931, 1029, 1715, 1995, 2793, 4655, 5145, 6517, 13965, 19551, 32585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97740 and 97755. The biggest common factor number is the GCF number.
So the greatest common factor 97740 and 97755 is 15.

Also check out the Least Common Multiple of 97740 and 97755