What is the Greatest Common Factor of 85274 and 85288?

Greatest common factor (GCF) of 85274 and 85288 is 14.

GCF(85274,85288) = 14

We will now calculate the prime factors of 85274 and 85288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85274 and 85288.

How to find the GCF of 85274 and 85288?

We will first find the prime factorization of 85274 and 85288. After we will calculate the factors of 85274 and 85288 and find the biggest common factor number .

Step-1: Prime Factorization of 85274

Prime factors of 85274 are 2, 7, 6091. Prime factorization of 85274 in exponential form is:

85274 = 2¹ × 7¹ × 6091¹

Step-2: Prime Factorization of 85288

Prime factors of 85288 are 2, 7, 1523. Prime factorization of 85288 in exponential form is:

85288 = 2³ × 7¹ × 1523¹

Step-3: Factors of 85274

List of positive integer factors of 85274 that divides 85274 without a remainder.

1, 2, 7, 14, 6091, 12182, 42637

Step-4: Factors of 85288

List of positive integer factors of 85288 that divides 85274 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1523, 3046, 6092, 10661, 12184, 21322, 42644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85274 and 85288. The biggest common factor number is the GCF number.
So the greatest common factor 85274 and 85288 is 14.

Also check out the Least Common Multiple of 85274 and 85288