What is the Greatest Common Factor of 85452 and 85470?

Greatest common factor (GCF) of 85452 and 85470 is 6.

GCF(85452,85470) = 6

We will now calculate the prime factors of 85452 and 85470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85452 and 85470.

How to find the GCF of 85452 and 85470?

We will first find the prime factorization of 85452 and 85470. After we will calculate the factors of 85452 and 85470 and find the biggest common factor number .

Step-1: Prime Factorization of 85452

Prime factors of 85452 are 2, 3, 7121. Prime factorization of 85452 in exponential form is:

85452 = 2² × 3¹ × 7121¹

Step-2: Prime Factorization of 85470

Prime factors of 85470 are 2, 3, 5, 7, 11, 37. Prime factorization of 85470 in exponential form is:

85470 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 37¹

Step-3: Factors of 85452

List of positive integer factors of 85452 that divides 85452 without a remainder.

1, 2, 3, 4, 6, 12, 7121, 14242, 21363, 28484, 42726

Step-4: Factors of 85470

List of positive integer factors of 85470 that divides 85452 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 37, 42, 55, 66, 70, 74, 77, 105, 110, 111, 154, 165, 185, 210, 222, 231, 259, 330, 370, 385, 407, 462, 518, 555, 770, 777, 814, 1110, 1155, 1221, 1295, 1554, 2035, 2310, 2442, 2590, 2849, 3885, 4070, 5698, 6105, 7770, 8547, 12210, 14245, 17094, 28490, 42735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85452 and 85470. The biggest common factor number is the GCF number.
So the greatest common factor 85452 and 85470 is 6.

Also check out the Least Common Multiple of 85452 and 85470