What is the Greatest Common Factor of 84780 and 84798?

Greatest common factor (GCF) of 84780 and 84798 is 18.

GCF(84780,84798) = 18

We will now calculate the prime factors of 84780 and 84798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84780 and 84798.

How to find the GCF of 84780 and 84798?

We will first find the prime factorization of 84780 and 84798. After we will calculate the factors of 84780 and 84798 and find the biggest common factor number .

Step-1: Prime Factorization of 84780

Prime factors of 84780 are 2, 3, 5, 157. Prime factorization of 84780 in exponential form is:

84780 = 2² × 3³ × 5¹ × 157¹

Step-2: Prime Factorization of 84798

Prime factors of 84798 are 2, 3, 7, 673. Prime factorization of 84798 in exponential form is:

84798 = 2¹ × 3² × 7¹ × 673¹

Step-3: Factors of 84780

List of positive integer factors of 84780 that divides 84780 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 157, 180, 270, 314, 471, 540, 628, 785, 942, 1413, 1570, 1884, 2355, 2826, 3140, 4239, 4710, 5652, 7065, 8478, 9420, 14130, 16956, 21195, 28260, 42390

Step-4: Factors of 84798

List of positive integer factors of 84798 that divides 84780 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 673, 1346, 2019, 4038, 4711, 6057, 9422, 12114, 14133, 28266, 42399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84780 and 84798. The biggest common factor number is the GCF number.
So the greatest common factor 84780 and 84798 is 18.

Also check out the Least Common Multiple of 84780 and 84798