What is the Greatest Common Factor of 94773 and 94780?

Greatest common factor (GCF) of 94773 and 94780 is 7.

GCF(94773,94780) = 7

We will now calculate the prime factors of 94773 and 94780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94773 and 94780.

How to find the GCF of 94773 and 94780?

We will first find the prime factorization of 94773 and 94780. After we will calculate the factors of 94773 and 94780 and find the biggest common factor number .

Step-1: Prime Factorization of 94773

Prime factors of 94773 are 3, 7, 4513. Prime factorization of 94773 in exponential form is:

94773 = 3¹ × 7¹ × 4513¹

Step-2: Prime Factorization of 94780

Prime factors of 94780 are 2, 5, 7, 677. Prime factorization of 94780 in exponential form is:

94780 = 2² × 5¹ × 7¹ × 677¹

Step-3: Factors of 94773

List of positive integer factors of 94773 that divides 94773 without a remainder.

1, 3, 7, 21, 4513, 13539, 31591

Step-4: Factors of 94780

List of positive integer factors of 94780 that divides 94773 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 677, 1354, 2708, 3385, 4739, 6770, 9478, 13540, 18956, 23695, 47390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94773 and 94780. The biggest common factor number is the GCF number.
So the greatest common factor 94773 and 94780 is 7.

Also check out the Least Common Multiple of 94773 and 94780