What is the Greatest Common Factor of 85512 and 85526?

Greatest common factor (GCF) of 85512 and 85526 is 14.

GCF(85512,85526) = 14

We will now calculate the prime factors of 85512 and 85526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85512 and 85526.

How to find the GCF of 85512 and 85526?

We will first find the prime factorization of 85512 and 85526. After we will calculate the factors of 85512 and 85526 and find the biggest common factor number .

Step-1: Prime Factorization of 85512

Prime factors of 85512 are 2, 3, 7, 509. Prime factorization of 85512 in exponential form is:

85512 = 2³ × 3¹ × 7¹ × 509¹

Step-2: Prime Factorization of 85526

Prime factors of 85526 are 2, 7, 41, 149. Prime factorization of 85526 in exponential form is:

85526 = 2¹ × 7¹ × 41¹ × 149¹

Step-3: Factors of 85512

List of positive integer factors of 85512 that divides 85512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 509, 1018, 1527, 2036, 3054, 3563, 4072, 6108, 7126, 10689, 12216, 14252, 21378, 28504, 42756

Step-4: Factors of 85526

List of positive integer factors of 85526 that divides 85512 without a remainder.

1, 2, 7, 14, 41, 82, 149, 287, 298, 574, 1043, 2086, 6109, 12218, 42763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85512 and 85526. The biggest common factor number is the GCF number.
So the greatest common factor 85512 and 85526 is 14.

Also check out the Least Common Multiple of 85512 and 85526