What is the Greatest Common Factor of 85474 and 85484?

Greatest common factor (GCF) of 85474 and 85484 is 2.

GCF(85474,85484) = 2

We will now calculate the prime factors of 85474 and 85484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85474 and 85484.

How to find the GCF of 85474 and 85484?

We will first find the prime factorization of 85474 and 85484. After we will calculate the factors of 85474 and 85484 and find the biggest common factor number .

Step-1: Prime Factorization of 85474

Prime factors of 85474 are 2, 42737. Prime factorization of 85474 in exponential form is:

85474 = 2¹ × 42737¹

Step-2: Prime Factorization of 85484

Prime factors of 85484 are 2, 7, 43, 71. Prime factorization of 85484 in exponential form is:

85484 = 2² × 7¹ × 43¹ × 71¹

Step-3: Factors of 85474

List of positive integer factors of 85474 that divides 85474 without a remainder.

1, 2, 42737

Step-4: Factors of 85484

List of positive integer factors of 85484 that divides 85474 without a remainder.

1, 2, 4, 7, 14, 28, 43, 71, 86, 142, 172, 284, 301, 497, 602, 994, 1204, 1988, 3053, 6106, 12212, 21371, 42742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85474 and 85484. The biggest common factor number is the GCF number.
So the greatest common factor 85474 and 85484 is 2.

Also check out the Least Common Multiple of 85474 and 85484