What is the Greatest Common Factor of 20770 and 20780?

Greatest common factor (GCF) of 20770 and 20780 is 10.

GCF(20770,20780) = 10

We will now calculate the prime factors of 20770 and 20780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20770 and 20780.

How to find the GCF of 20770 and 20780?

We will first find the prime factorization of 20770 and 20780. After we will calculate the factors of 20770 and 20780 and find the biggest common factor number .

Step-1: Prime Factorization of 20770

Prime factors of 20770 are 2, 5, 31, 67. Prime factorization of 20770 in exponential form is:

20770 = 2¹ × 5¹ × 31¹ × 67¹

Step-2: Prime Factorization of 20780

Prime factors of 20780 are 2, 5, 1039. Prime factorization of 20780 in exponential form is:

20780 = 2² × 5¹ × 1039¹

Step-3: Factors of 20770

List of positive integer factors of 20770 that divides 20770 without a remainder.

1, 2, 5, 10, 31, 62, 67, 134, 155, 310, 335, 670, 2077, 4154, 10385

Step-4: Factors of 20780

List of positive integer factors of 20780 that divides 20770 without a remainder.

1, 2, 4, 5, 10, 20, 1039, 2078, 4156, 5195, 10390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20770 and 20780. The biggest common factor number is the GCF number.
So the greatest common factor 20770 and 20780 is 10.

Also check out the Least Common Multiple of 20770 and 20780