What is the Greatest Common Factor of 84560 and 84567?

Greatest common factor (GCF) of 84560 and 84567 is 7.

GCF(84560,84567) = 7

We will now calculate the prime factors of 84560 and 84567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84560 and 84567.

How to find the GCF of 84560 and 84567?

We will first find the prime factorization of 84560 and 84567. After we will calculate the factors of 84560 and 84567 and find the biggest common factor number .

Step-1: Prime Factorization of 84560

Prime factors of 84560 are 2, 5, 7, 151. Prime factorization of 84560 in exponential form is:

84560 = 2⁴ × 5¹ × 7¹ × 151¹

Step-2: 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-3: Factors of 84560

List of positive integer factors of 84560 that divides 84560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 151, 280, 302, 560, 604, 755, 1057, 1208, 1510, 2114, 2416, 3020, 4228, 5285, 6040, 8456, 10570, 12080, 16912, 21140, 42280

Step-4: Factors of 84567

List of positive integer factors of 84567 that divides 84560 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84560 and 84567. The biggest common factor number is the GCF number.
So the greatest common factor 84560 and 84567 is 7.

Also check out the Least Common Multiple of 84560 and 84567