What is the Greatest Common Factor of 84420 and 84430?

Greatest common factor (GCF) of 84420 and 84430 is 10.

GCF(84420,84430) = 10

We will now calculate the prime factors of 84420 and 84430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84420 and 84430.

How to find the GCF of 84420 and 84430?

We will first find the prime factorization of 84420 and 84430. After we will calculate the factors of 84420 and 84430 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 84430

Prime factors of 84430 are 2, 5, 8443. Prime factorization of 84430 in exponential form is:

84430 = 2¹ × 5¹ × 8443¹

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 84430

List of positive integer factors of 84430 that divides 84420 without a remainder.

1, 2, 5, 10, 8443, 16886, 42215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84420 and 84430. The biggest common factor number is the GCF number.
So the greatest common factor 84420 and 84430 is 10.

Also check out the Least Common Multiple of 84420 and 84430