What is the Greatest Common Factor of 84924 and 84944?

Greatest common factor (GCF) of 84924 and 84944 is 4.

GCF(84924,84944) = 4

We will now calculate the prime factors of 84924 and 84944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84924 and 84944.

How to find the GCF of 84924 and 84944?

We will first find the prime factorization of 84924 and 84944. After we will calculate the factors of 84924 and 84944 and find the biggest common factor number .

Step-1: Prime Factorization of 84924

Prime factors of 84924 are 2, 3, 7, 337. Prime factorization of 84924 in exponential form is:

84924 = 2² × 3² × 7¹ × 337¹

Step-2: Prime Factorization of 84944

Prime factors of 84944 are 2, 5309. Prime factorization of 84944 in exponential form is:

84944 = 2⁴ × 5309¹

Step-3: Factors of 84924

List of positive integer factors of 84924 that divides 84924 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 337, 674, 1011, 1348, 2022, 2359, 3033, 4044, 4718, 6066, 7077, 9436, 12132, 14154, 21231, 28308, 42462

Step-4: Factors of 84944

List of positive integer factors of 84944 that divides 84924 without a remainder.

1, 2, 4, 8, 16, 5309, 10618, 21236, 42472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84924 and 84944. The biggest common factor number is the GCF number.
So the greatest common factor 84924 and 84944 is 4.

Also check out the Least Common Multiple of 84924 and 84944