What is the Greatest Common Factor of 84416 and 84420?

Greatest common factor (GCF) of 84416 and 84420 is 4.

GCF(84416,84420) = 4

We will now calculate the prime factors of 84416 and 84420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84416 and 84420.

How to find the GCF of 84416 and 84420?

We will first find the prime factorization of 84416 and 84420. After we will calculate the factors of 84416 and 84420 and find the biggest common factor number .

Step-1: Prime Factorization of 84416

Prime factors of 84416 are 2, 1319. Prime factorization of 84416 in exponential form is:

84416 = 2⁶ × 1319¹

Step-2: Prime Factorization of 84420

Prime factors of 84420 are 2, 3, 5, 7, 67. Prime factorization of 84420 in exponential form is:

84420 = 2² × 3² × 5¹ × 7¹ × 67¹

Step-3: Factors of 84416

List of positive integer factors of 84416 that divides 84416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1319, 2638, 5276, 10552, 21104, 42208

Step-4: Factors of 84420

List of positive integer factors of 84420 that divides 84416 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 67, 70, 84, 90, 105, 126, 134, 140, 180, 201, 210, 252, 268, 315, 335, 402, 420, 469, 603, 630, 670, 804, 938, 1005, 1206, 1260, 1340, 1407, 1876, 2010, 2345, 2412, 2814, 3015, 4020, 4221, 4690, 5628, 6030, 7035, 8442, 9380, 12060, 14070, 16884, 21105, 28140, 42210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84416 and 84420. The biggest common factor number is the GCF number.
So the greatest common factor 84416 and 84420 is 4.

Also check out the Least Common Multiple of 84416 and 84420