What is the Greatest Common Factor of 45780 and 45787?

Greatest common factor (GCF) of 45780 and 45787 is 7.

GCF(45780,45787) = 7

We will now calculate the prime factors of 45780 and 45787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45780 and 45787.

How to find the GCF of 45780 and 45787?

We will first find the prime factorization of 45780 and 45787. After we will calculate the factors of 45780 and 45787 and find the biggest common factor number .

Step-1: Prime Factorization of 45780

Prime factors of 45780 are 2, 3, 5, 7, 109. Prime factorization of 45780 in exponential form is:

45780 = 2² × 3¹ × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 45787

Prime factors of 45787 are 7, 31, 211. Prime factorization of 45787 in exponential form is:

45787 = 7¹ × 31¹ × 211¹

Step-3: Factors of 45780

List of positive integer factors of 45780 that divides 45780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 109, 140, 210, 218, 327, 420, 436, 545, 654, 763, 1090, 1308, 1526, 1635, 2180, 2289, 3052, 3270, 3815, 4578, 6540, 7630, 9156, 11445, 15260, 22890

Step-4: Factors of 45787

List of positive integer factors of 45787 that divides 45780 without a remainder.

1, 7, 31, 211, 217, 1477, 6541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45780 and 45787. The biggest common factor number is the GCF number.
So the greatest common factor 45780 and 45787 is 7.

Also check out the Least Common Multiple of 45780 and 45787