What is the Greatest Common Factor of 85956 and 85960?

Greatest common factor (GCF) of 85956 and 85960 is 4.

GCF(85956,85960) = 4

We will now calculate the prime factors of 85956 and 85960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85956 and 85960.

How to find the GCF of 85956 and 85960?

We will first find the prime factorization of 85956 and 85960. After we will calculate the factors of 85956 and 85960 and find the biggest common factor number .

Step-1: Prime Factorization of 85956

Prime factors of 85956 are 2, 3, 13, 19, 29. Prime factorization of 85956 in exponential form is:

85956 = 2² × 3¹ × 13¹ × 19¹ × 29¹

Step-2: Prime Factorization of 85960

Prime factors of 85960 are 2, 5, 7, 307. Prime factorization of 85960 in exponential form is:

85960 = 2³ × 5¹ × 7¹ × 307¹

Step-3: Factors of 85956

List of positive integer factors of 85956 that divides 85956 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 26, 29, 38, 39, 52, 57, 58, 76, 78, 87, 114, 116, 156, 174, 228, 247, 348, 377, 494, 551, 741, 754, 988, 1102, 1131, 1482, 1508, 1653, 2204, 2262, 2964, 3306, 4524, 6612, 7163, 14326, 21489, 28652, 42978

Step-4: Factors of 85960

List of positive integer factors of 85960 that divides 85956 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 307, 614, 1228, 1535, 2149, 2456, 3070, 4298, 6140, 8596, 10745, 12280, 17192, 21490, 42980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85956 and 85960. The biggest common factor number is the GCF number.
So the greatest common factor 85956 and 85960 is 4.

Also check out the Least Common Multiple of 85956 and 85960