What is the Greatest Common Factor of 85946 and 85960?

Greatest common factor (GCF) of 85946 and 85960 is 14.

GCF(85946,85960) = 14

We will now calculate the prime factors of 85946 and 85960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85946 and 85960.

How to find the GCF of 85946 and 85960?

We will first find the prime factorization of 85946 and 85960. After we will calculate the factors of 85946 and 85960 and find the biggest common factor number .

Step-1: Prime Factorization of 85946

Prime factors of 85946 are 2, 7, 877. Prime factorization of 85946 in exponential form is:

85946 = 2¹ × 7² × 877¹

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 85946

List of positive integer factors of 85946 that divides 85946 without a remainder.

1, 2, 7, 14, 49, 98, 877, 1754, 6139, 12278, 42973

Step-4: Factors of 85960

List of positive integer factors of 85960 that divides 85946 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 85946 and 85960. The biggest common factor number is the GCF number.
So the greatest common factor 85946 and 85960 is 14.

Also check out the Least Common Multiple of 85946 and 85960