What is the Greatest Common Factor of 84567 and 84574?

Greatest common factor (GCF) of 84567 and 84574 is 7.

GCF(84567,84574) = 7

We will now calculate the prime factors of 84567 and 84574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84567 and 84574.

How to find the GCF of 84567 and 84574?

We will first find the prime factorization of 84567 and 84574. After we will calculate the factors of 84567 and 84574 and find the biggest common factor number .

Step-1: Prime Factorization of 84567

Prime factors of 84567 are 3, 7, 4027. Prime factorization of 84567 in exponential form is:

84567 = 3¹ × 7¹ × 4027¹

Step-2: Prime Factorization of 84574

Prime factors of 84574 are 2, 7, 863. Prime factorization of 84574 in exponential form is:

84574 = 2¹ × 7² × 863¹

Step-3: Factors of 84567

List of positive integer factors of 84567 that divides 84567 without a remainder.

1, 3, 7, 21, 4027, 12081, 28189

Step-4: Factors of 84574

List of positive integer factors of 84574 that divides 84567 without a remainder.

1, 2, 7, 14, 49, 98, 863, 1726, 6041, 12082, 42287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84567 and 84574. The biggest common factor number is the GCF number.
So the greatest common factor 84567 and 84574 is 7.

Also check out the Least Common Multiple of 84567 and 84574