What is the Greatest Common Factor of 84420 and 84435?

Greatest common factor (GCF) of 84420 and 84435 is 15.

GCF(84420,84435) = 15

We will now calculate the prime factors of 84420 and 84435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84420 and 84435.

How to find the GCF of 84420 and 84435?

We will first find the prime factorization of 84420 and 84435. After we will calculate the factors of 84420 and 84435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84435

Prime factors of 84435 are 3, 5, 13, 433. Prime factorization of 84435 in exponential form is:

84435 = 3¹ × 5¹ × 13¹ × 433¹

Step-3: Factors of 84420

List of positive integer factors of 84420 that divides 84420 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

Step-4: Factors of 84435

List of positive integer factors of 84435 that divides 84420 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 433, 1299, 2165, 5629, 6495, 16887, 28145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84420 and 84435. The biggest common factor number is the GCF number.
So the greatest common factor 84420 and 84435 is 15.

Also check out the Least Common Multiple of 84420 and 84435