What is the Greatest Common Factor of 85246 and 85252?

Greatest common factor (GCF) of 85246 and 85252 is 2.

GCF(85246,85252) = 2

We will now calculate the prime factors of 85246 and 85252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85246 and 85252.

How to find the GCF of 85246 and 85252?

We will first find the prime factorization of 85246 and 85252. After we will calculate the factors of 85246 and 85252 and find the biggest common factor number .

Step-1: Prime Factorization of 85246

Prime factors of 85246 are 2, 7, 6089. Prime factorization of 85246 in exponential form is:

85246 = 2¹ × 7¹ × 6089¹

Step-2: Prime Factorization of 85252

Prime factors of 85252 are 2, 21313. Prime factorization of 85252 in exponential form is:

85252 = 2² × 21313¹

Step-3: Factors of 85246

List of positive integer factors of 85246 that divides 85246 without a remainder.

1, 2, 7, 14, 6089, 12178, 42623

Step-4: Factors of 85252

List of positive integer factors of 85252 that divides 85246 without a remainder.

1, 2, 4, 21313, 42626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85246 and 85252. The biggest common factor number is the GCF number.
So the greatest common factor 85246 and 85252 is 2.

Also check out the Least Common Multiple of 85246 and 85252