What is the Greatest Common Factor of 85416 and 85428?

Greatest common factor (GCF) of 85416 and 85428 is 12.

GCF(85416,85428) = 12

We will now calculate the prime factors of 85416 and 85428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85416 and 85428.

How to find the GCF of 85416 and 85428?

We will first find the prime factorization of 85416 and 85428. After we will calculate the factors of 85416 and 85428 and find the biggest common factor number .

Step-1: Prime Factorization of 85416

Prime factors of 85416 are 2, 3, 3559. Prime factorization of 85416 in exponential form is:

85416 = 2³ × 3¹ × 3559¹

Step-2: Prime Factorization of 85428

Prime factors of 85428 are 2, 3, 7, 113. Prime factorization of 85428 in exponential form is:

85428 = 2² × 3³ × 7¹ × 113¹

Step-3: Factors of 85416

List of positive integer factors of 85416 that divides 85416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3559, 7118, 10677, 14236, 21354, 28472, 42708

Step-4: Factors of 85428

List of positive integer factors of 85428 that divides 85416 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 113, 126, 189, 226, 252, 339, 378, 452, 678, 756, 791, 1017, 1356, 1582, 2034, 2373, 3051, 3164, 4068, 4746, 6102, 7119, 9492, 12204, 14238, 21357, 28476, 42714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85416 and 85428. The biggest common factor number is the GCF number.
So the greatest common factor 85416 and 85428 is 12.

Also check out the Least Common Multiple of 85416 and 85428