What is the Greatest Common Factor of 84740 and 84744?

Greatest common factor (GCF) of 84740 and 84744 is 4.

GCF(84740,84744) = 4

We will now calculate the prime factors of 84740 and 84744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84740 and 84744.

How to find the GCF of 84740 and 84744?

We will first find the prime factorization of 84740 and 84744. After we will calculate the factors of 84740 and 84744 and find the biggest common factor number .

Step-1: Prime Factorization of 84740

Prime factors of 84740 are 2, 5, 19, 223. Prime factorization of 84740 in exponential form is:

84740 = 2² × 5¹ × 19¹ × 223¹

Step-2: Prime Factorization of 84744

Prime factors of 84744 are 2, 3, 11, 107. Prime factorization of 84744 in exponential form is:

84744 = 2³ × 3² × 11¹ × 107¹

Step-3: Factors of 84740

List of positive integer factors of 84740 that divides 84740 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 223, 380, 446, 892, 1115, 2230, 4237, 4460, 8474, 16948, 21185, 42370

Step-4: Factors of 84744

List of positive integer factors of 84744 that divides 84740 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 107, 132, 198, 214, 264, 321, 396, 428, 642, 792, 856, 963, 1177, 1284, 1926, 2354, 2568, 3531, 3852, 4708, 7062, 7704, 9416, 10593, 14124, 21186, 28248, 42372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84740 and 84744. The biggest common factor number is the GCF number.
So the greatest common factor 84740 and 84744 is 4.

Also check out the Least Common Multiple of 84740 and 84744