What is the Greatest Common Factor of 84955 and 84975?

Greatest common factor (GCF) of 84955 and 84975 is 5.

GCF(84955,84975) = 5

We will now calculate the prime factors of 84955 and 84975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84955 and 84975.

How to find the GCF of 84955 and 84975?

We will first find the prime factorization of 84955 and 84975. After we will calculate the factors of 84955 and 84975 and find the biggest common factor number .

Step-1: Prime Factorization of 84955

Prime factors of 84955 are 5, 13, 1307. Prime factorization of 84955 in exponential form is:

84955 = 5¹ × 13¹ × 1307¹

Step-2: Prime Factorization of 84975

Prime factors of 84975 are 3, 5, 11, 103. Prime factorization of 84975 in exponential form is:

84975 = 3¹ × 5² × 11¹ × 103¹

Step-3: Factors of 84955

List of positive integer factors of 84955 that divides 84955 without a remainder.

1, 5, 13, 65, 1307, 6535, 16991

Step-4: Factors of 84975

List of positive integer factors of 84975 that divides 84955 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 103, 165, 275, 309, 515, 825, 1133, 1545, 2575, 3399, 5665, 7725, 16995, 28325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84955 and 84975. The biggest common factor number is the GCF number.
So the greatest common factor 84955 and 84975 is 5.

Also check out the Least Common Multiple of 84955 and 84975