What is the Greatest Common Factor of 85740 and 85748?

Greatest common factor (GCF) of 85740 and 85748 is 4.

GCF(85740,85748) = 4

We will now calculate the prime factors of 85740 and 85748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85740 and 85748.

How to find the GCF of 85740 and 85748?

We will first find the prime factorization of 85740 and 85748. After we will calculate the factors of 85740 and 85748 and find the biggest common factor number .

Step-1: Prime Factorization of 85740

Prime factors of 85740 are 2, 3, 5, 1429. Prime factorization of 85740 in exponential form is:

85740 = 2² × 3¹ × 5¹ × 1429¹

Step-2: Prime Factorization of 85748

Prime factors of 85748 are 2, 13, 17, 97. Prime factorization of 85748 in exponential form is:

85748 = 2² × 13¹ × 17¹ × 97¹

Step-3: Factors of 85740

List of positive integer factors of 85740 that divides 85740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1429, 2858, 4287, 5716, 7145, 8574, 14290, 17148, 21435, 28580, 42870

Step-4: Factors of 85748

List of positive integer factors of 85748 that divides 85740 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 97, 194, 221, 388, 442, 884, 1261, 1649, 2522, 3298, 5044, 6596, 21437, 42874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85740 and 85748. The biggest common factor number is the GCF number.
So the greatest common factor 85740 and 85748 is 4.

Also check out the Least Common Multiple of 85740 and 85748