What is the Greatest Common Factor of 35980 and 35996?

Greatest common factor (GCF) of 35980 and 35996 is 4.

GCF(35980,35996) = 4

We will now calculate the prime factors of 35980 and 35996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35980 and 35996.

How to find the GCF of 35980 and 35996?

We will first find the prime factorization of 35980 and 35996. After we will calculate the factors of 35980 and 35996 and find the biggest common factor number .

Step-1: Prime Factorization of 35980

Prime factors of 35980 are 2, 5, 7, 257. Prime factorization of 35980 in exponential form is:

35980 = 2² × 5¹ × 7¹ × 257¹

Step-2: Prime Factorization of 35996

Prime factors of 35996 are 2, 8999. Prime factorization of 35996 in exponential form is:

35996 = 2² × 8999¹

Step-3: Factors of 35980

List of positive integer factors of 35980 that divides 35980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 257, 514, 1028, 1285, 1799, 2570, 3598, 5140, 7196, 8995, 17990

Step-4: Factors of 35996

List of positive integer factors of 35996 that divides 35980 without a remainder.

1, 2, 4, 8999, 17998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35980 and 35996. The biggest common factor number is the GCF number.
So the greatest common factor 35980 and 35996 is 4.

Also check out the Least Common Multiple of 35980 and 35996