What is the Greatest Common Factor of 39773 and 39780?

Greatest common factor (GCF) of 39773 and 39780 is 1.

GCF(39773,39780) = 1

We will now calculate the prime factors of 39773 and 39780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39773 and 39780.

How to find the GCF of 39773 and 39780?

We will first find the prime factorization of 39773 and 39780. After we will calculate the factors of 39773 and 39780 and find the biggest common factor number .

Step-1: Prime Factorization of 39773

Prime factors of 39773 are 31, 1283. Prime factorization of 39773 in exponential form is:

39773 = 31¹ × 1283¹

Step-2: Prime Factorization of 39780

Prime factors of 39780 are 2, 3, 5, 13, 17. Prime factorization of 39780 in exponential form is:

39780 = 2² × 3² × 5¹ × 13¹ × 17¹

Step-3: Factors of 39773

List of positive integer factors of 39773 that divides 39773 without a remainder.

1, 31, 1283

Step-4: Factors of 39780

List of positive integer factors of 39780 that divides 39773 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 17, 18, 20, 26, 30, 34, 36, 39, 45, 51, 52, 60, 65, 68, 78, 85, 90, 102, 117, 130, 153, 156, 170, 180, 195, 204, 221, 234, 255, 260, 306, 340, 390, 442, 468, 510, 585, 612, 663, 765, 780, 884, 1020, 1105, 1170, 1326, 1530, 1989, 2210, 2340, 2652, 3060, 3315, 3978, 4420, 6630, 7956, 9945, 13260, 19890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39773 and 39780. The biggest common factor number is the GCF number.
So the greatest common factor 39773 and 39780 is 1.

Also check out the Least Common Multiple of 39773 and 39780