What is the Greatest Common Factor of 35980 and 35992?

Greatest common factor (GCF) of 35980 and 35992 is 4.

GCF(35980,35992) = 4

We will now calculate the prime factors of 35980 and 35992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35980 and 35992.

How to find the GCF of 35980 and 35992?

We will first find the prime factorization of 35980 and 35992. After we will calculate the factors of 35980 and 35992 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 35992

Prime factors of 35992 are 2, 11, 409. Prime factorization of 35992 in exponential form is:

35992 = 2³ × 11¹ × 409¹

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 35992

List of positive integer factors of 35992 that divides 35980 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 409, 818, 1636, 3272, 4499, 8998, 17996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35980 and 35992. The biggest common factor number is the GCF number.
So the greatest common factor 35980 and 35992 is 4.

Also check out the Least Common Multiple of 35980 and 35992