What is the Greatest Common Factor of 85980 and 85988?

Greatest common factor (GCF) of 85980 and 85988 is 4.

GCF(85980,85988) = 4

We will now calculate the prime factors of 85980 and 85988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85980 and 85988.

How to find the GCF of 85980 and 85988?

We will first find the prime factorization of 85980 and 85988. After we will calculate the factors of 85980 and 85988 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 85988

Prime factors of 85988 are 2, 7, 37, 83. Prime factorization of 85988 in exponential form is:

85988 = 2² × 7¹ × 37¹ × 83¹

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 85988

List of positive integer factors of 85988 that divides 85980 without a remainder.

1, 2, 4, 7, 14, 28, 37, 74, 83, 148, 166, 259, 332, 518, 581, 1036, 1162, 2324, 3071, 6142, 12284, 21497, 42994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85980 and 85988. The biggest common factor number is the GCF number.
So the greatest common factor 85980 and 85988 is 4.

Also check out the Least Common Multiple of 85980 and 85988