What is the Greatest Common Factor of 97739 and 97755?

Greatest common factor (GCF) of 97739 and 97755 is 1.

GCF(97739,97755) = 1

We will now calculate the prime factors of 97739 and 97755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97739 and 97755.

How to find the GCF of 97739 and 97755?

We will first find the prime factorization of 97739 and 97755. After we will calculate the factors of 97739 and 97755 and find the biggest common factor number .

Step-1: Prime Factorization of 97739

Prime factors of 97739 are 43, 2273. Prime factorization of 97739 in exponential form is:

97739 = 43¹ × 2273¹

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 97739

List of positive integer factors of 97739 that divides 97739 without a remainder.

1, 43, 2273

Step-4: Factors of 97755

List of positive integer factors of 97755 that divides 97739 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 97739 and 97755. The biggest common factor number is the GCF number.
So the greatest common factor 97739 and 97755 is 1.

Also check out the Least Common Multiple of 97739 and 97755