What is the Greatest Common Factor of 85288 and 85302?

Greatest common factor (GCF) of 85288 and 85302 is 14.

GCF(85288,85302) = 14

We will now calculate the prime factors of 85288 and 85302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85288 and 85302.

How to find the GCF of 85288 and 85302?

We will first find the prime factorization of 85288 and 85302. After we will calculate the factors of 85288 and 85302 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85302

Prime factors of 85302 are 2, 3, 7, 677. Prime factorization of 85302 in exponential form is:

85302 = 2¹ × 3² × 7¹ × 677¹

Step-3: Factors of 85288

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

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

Step-4: Factors of 85302

List of positive integer factors of 85302 that divides 85288 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 677, 1354, 2031, 4062, 4739, 6093, 9478, 12186, 14217, 28434, 42651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85288 and 85302. The biggest common factor number is the GCF number.
So the greatest common factor 85288 and 85302 is 14.

Also check out the Least Common Multiple of 85288 and 85302