What is the Greatest Common Factor of 85348 and 85362?

Greatest common factor (GCF) of 85348 and 85362 is 2.

GCF(85348,85362) = 2

We will now calculate the prime factors of 85348 and 85362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85348 and 85362.

How to find the GCF of 85348 and 85362?

We will first find the prime factorization of 85348 and 85362. After we will calculate the factors of 85348 and 85362 and find the biggest common factor number .

Step-1: Prime Factorization of 85348

Prime factors of 85348 are 2, 19, 1123. Prime factorization of 85348 in exponential form is:

85348 = 2² × 19¹ × 1123¹

Step-2: Prime Factorization of 85362

Prime factors of 85362 are 2, 3, 41, 347. Prime factorization of 85362 in exponential form is:

85362 = 2¹ × 3¹ × 41¹ × 347¹

Step-3: Factors of 85348

List of positive integer factors of 85348 that divides 85348 without a remainder.

1, 2, 4, 19, 38, 76, 1123, 2246, 4492, 21337, 42674

Step-4: Factors of 85362

List of positive integer factors of 85362 that divides 85348 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 347, 694, 1041, 2082, 14227, 28454, 42681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85348 and 85362. The biggest common factor number is the GCF number.
So the greatest common factor 85348 and 85362 is 2.

Also check out the Least Common Multiple of 85348 and 85362