What is the Greatest Common Factor of 35971 and 35980?

Greatest common factor (GCF) of 35971 and 35980 is 1.

GCF(35971,35980) = 1

We will now calculate the prime factors of 35971 and 35980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35971 and 35980.

How to find the GCF of 35971 and 35980?

We will first find the prime factorization of 35971 and 35980. After we will calculate the factors of 35971 and 35980 and find the biggest common factor number .

Step-1: Prime Factorization of 35971

Prime factors of 35971 are 13, 2767. Prime factorization of 35971 in exponential form is:

35971 = 13¹ × 2767¹

Step-2: 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-3: Factors of 35971

List of positive integer factors of 35971 that divides 35971 without a remainder.

1, 13, 2767

Step-4: Factors of 35980

List of positive integer factors of 35980 that divides 35971 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35971 and 35980. The biggest common factor number is the GCF number.
So the greatest common factor 35971 and 35980 is 1.

Also check out the Least Common Multiple of 35971 and 35980