What is the Greatest Common Factor of 97755 and 97769?

Greatest common factor (GCF) of 97755 and 97769 is 7.

GCF(97755,97769) = 7

We will now calculate the prime factors of 97755 and 97769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97755 and 97769.

How to find the GCF of 97755 and 97769?

We will first find the prime factorization of 97755 and 97769. After we will calculate the factors of 97755 and 97769 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97769

Prime factors of 97769 are 7, 13967. Prime factorization of 97769 in exponential form is:

97769 = 7¹ × 13967¹

Step-3: Factors of 97755

List of positive integer factors of 97755 that divides 97755 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

Step-4: Factors of 97769

List of positive integer factors of 97769 that divides 97755 without a remainder.

1, 7, 13967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97755 and 97769. The biggest common factor number is the GCF number.
So the greatest common factor 97755 and 97769 is 7.

Also check out the Least Common Multiple of 97755 and 97769