What is the Greatest Common Factor of 35960 and 35980?

Greatest common factor (GCF) of 35960 and 35980 is 20.

GCF(35960,35980) = 20

We will now calculate the prime factors of 35960 and 35980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35960 and 35980.

How to find the GCF of 35960 and 35980?

We will first find the prime factorization of 35960 and 35980. After we will calculate the factors of 35960 and 35980 and find the biggest common factor number .

Step-1: Prime Factorization of 35960

Prime factors of 35960 are 2, 5, 29, 31. Prime factorization of 35960 in exponential form is:

35960 = 2³ × 5¹ × 29¹ × 31¹

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 35960

List of positive integer factors of 35960 that divides 35960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 31, 40, 58, 62, 116, 124, 145, 155, 232, 248, 290, 310, 580, 620, 899, 1160, 1240, 1798, 3596, 4495, 7192, 8990, 17980

Step-4: Factors of 35980

List of positive integer factors of 35980 that divides 35960 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 35960 and 35980. The biggest common factor number is the GCF number.
So the greatest common factor 35960 and 35980 is 20.

Also check out the Least Common Multiple of 35960 and 35980