What is the Greatest Common Factor of 20749 and 20755?

Greatest common factor (GCF) of 20749 and 20755 is 1.

GCF(20749,20755) = 1

We will now calculate the prime factors of 20749 and 20755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20749 and 20755.

How to find the GCF of 20749 and 20755?

We will first find the prime factorization of 20749 and 20755. After we will calculate the factors of 20749 and 20755 and find the biggest common factor number .

Step-1: Prime Factorization of 20749

Prime factors of 20749 are 20749. Prime factorization of 20749 in exponential form is:

20749 = 20749¹

Step-2: 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-3: Factors of 20749

List of positive integer factors of 20749 that divides 20749 without a remainder.

Step-4: Factors of 20755

List of positive integer factors of 20755 that divides 20749 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20749 and 20755. The biggest common factor number is the GCF number.
So the greatest common factor 20749 and 20755 is 1.

Also check out the Least Common Multiple of 20749 and 20755