What is the Greatest Common Factor of 85980 and 85984?

Greatest common factor (GCF) of 85980 and 85984 is 4.

GCF(85980,85984) = 4

We will now calculate the prime factors of 85980 and 85984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85980 and 85984.

How to find the GCF of 85980 and 85984?

We will first find the prime factorization of 85980 and 85984. After we will calculate the factors of 85980 and 85984 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85984

Prime factors of 85984 are 2, 2687. Prime factorization of 85984 in exponential form is:

85984 = 2⁵ × 2687¹

Step-3: Factors of 85980

List of positive integer factors of 85980 that divides 85980 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

Step-4: Factors of 85984

List of positive integer factors of 85984 that divides 85980 without a remainder.

1, 2, 4, 8, 16, 32, 2687, 5374, 10748, 21496, 42992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85980 and 85984. The biggest common factor number is the GCF number.
So the greatest common factor 85980 and 85984 is 4.

Also check out the Least Common Multiple of 85980 and 85984