What is the Greatest Common Factor of 31780 and 31787?

Greatest common factor (GCF) of 31780 and 31787 is 7.

GCF(31780,31787) = 7

We will now calculate the prime factors of 31780 and 31787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31780 and 31787.

How to find the GCF of 31780 and 31787?

We will first find the prime factorization of 31780 and 31787. After we will calculate the factors of 31780 and 31787 and find the biggest common factor number .

Step-1: Prime Factorization of 31780

Prime factors of 31780 are 2, 5, 7, 227. Prime factorization of 31780 in exponential form is:

31780 = 2² × 5¹ × 7¹ × 227¹

Step-2: Prime Factorization of 31787

Prime factors of 31787 are 7, 19, 239. Prime factorization of 31787 in exponential form is:

31787 = 7¹ × 19¹ × 239¹

Step-3: Factors of 31780

List of positive integer factors of 31780 that divides 31780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 227, 454, 908, 1135, 1589, 2270, 3178, 4540, 6356, 7945, 15890

Step-4: Factors of 31787

List of positive integer factors of 31787 that divides 31780 without a remainder.

1, 7, 19, 133, 239, 1673, 4541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31780 and 31787. The biggest common factor number is the GCF number.
So the greatest common factor 31780 and 31787 is 7.

Also check out the Least Common Multiple of 31780 and 31787