What is the Greatest Common Factor of 84407 and 84420?

Greatest common factor (GCF) of 84407 and 84420 is 1.

GCF(84407,84420) = 1

We will now calculate the prime factors of 84407 and 84420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84407 and 84420.

How to find the GCF of 84407 and 84420?

We will first find the prime factorization of 84407 and 84420. After we will calculate the factors of 84407 and 84420 and find the biggest common factor number .

Step-1: Prime Factorization of 84407

Prime factors of 84407 are 84407. Prime factorization of 84407 in exponential form is:

84407 = 84407¹

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 84407

List of positive integer factors of 84407 that divides 84407 without a remainder.

Step-4: Factors of 84420

List of positive integer factors of 84420 that divides 84407 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 84407 and 84420. The biggest common factor number is the GCF number.
So the greatest common factor 84407 and 84420 is 1.

Also check out the Least Common Multiple of 84407 and 84420