What is the Greatest Common Factor of 20755 and 20769?

Greatest common factor (GCF) of 20755 and 20769 is 7.

GCF(20755,20769) = 7

We will now calculate the prime factors of 20755 and 20769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20755 and 20769.

How to find the GCF of 20755 and 20769?

We will first find the prime factorization of 20755 and 20769. After we will calculate the factors of 20755 and 20769 and find the biggest common factor number .

Step-1: Prime Factorization of 20755

Prime factors of 20755 are 5, 7, 593. Prime factorization of 20755 in exponential form is:

20755 = 5¹ × 7¹ × 593¹

Step-2: Prime Factorization of 20769

Prime factors of 20769 are 3, 7, 23, 43. Prime factorization of 20769 in exponential form is:

20769 = 3¹ × 7¹ × 23¹ × 43¹

Step-3: Factors of 20755

List of positive integer factors of 20755 that divides 20755 without a remainder.

1, 5, 7, 35, 593, 2965, 4151

Step-4: Factors of 20769

List of positive integer factors of 20769 that divides 20755 without a remainder.

1, 3, 7, 21, 23, 43, 69, 129, 161, 301, 483, 903, 989, 2967, 6923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20755 and 20769. The biggest common factor number is the GCF number.
So the greatest common factor 20755 and 20769 is 7.

Also check out the Least Common Multiple of 20755 and 20769