What is the Greatest Common Factor of 85969 and 85980?

Greatest common factor (GCF) of 85969 and 85980 is 1.

GCF(85969,85980) = 1

We will now calculate the prime factors of 85969 and 85980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85969 and 85980.

How to find the GCF of 85969 and 85980?

We will first find the prime factorization of 85969 and 85980. After we will calculate the factors of 85969 and 85980 and find the biggest common factor number .

Step-1: Prime Factorization of 85969

Prime factors of 85969 are 13, 17, 389. Prime factorization of 85969 in exponential form is:

85969 = 13¹ × 17¹ × 389¹

Step-2: Prime Factorization of 85980

Prime factors of 85980 are 2, 3, 5, 1433. Prime factorization of 85980 in exponential form is:

85980 = 2² × 3¹ × 5¹ × 1433¹

Step-3: Factors of 85969

List of positive integer factors of 85969 that divides 85969 without a remainder.

1, 13, 17, 221, 389, 5057, 6613

Step-4: Factors of 85980

List of positive integer factors of 85980 that divides 85969 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1433, 2866, 4299, 5732, 7165, 8598, 14330, 17196, 21495, 28660, 42990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85969 and 85980. The biggest common factor number is the GCF number.
So the greatest common factor 85969 and 85980 is 1.

Also check out the Least Common Multiple of 85969 and 85980