What is the Greatest Common Factor of 35940 and 35951?

Greatest common factor (GCF) of 35940 and 35951 is 1.

GCF(35940,35951) = 1

We will now calculate the prime factors of 35940 and 35951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35940 and 35951.

How to find the GCF of 35940 and 35951?

We will first find the prime factorization of 35940 and 35951. After we will calculate the factors of 35940 and 35951 and find the biggest common factor number .

Step-1: Prime Factorization of 35940

Prime factors of 35940 are 2, 3, 5, 599. Prime factorization of 35940 in exponential form is:

35940 = 2² × 3¹ × 5¹ × 599¹

Step-2: Prime Factorization of 35951

Prime factors of 35951 are 35951. Prime factorization of 35951 in exponential form is:

35951 = 35951¹

Step-3: Factors of 35940

List of positive integer factors of 35940 that divides 35940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 599, 1198, 1797, 2396, 2995, 3594, 5990, 7188, 8985, 11980, 17970

Step-4: Factors of 35951

List of positive integer factors of 35951 that divides 35940 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35940 and 35951. The biggest common factor number is the GCF number.
So the greatest common factor 35940 and 35951 is 1.

Also check out the Least Common Multiple of 35940 and 35951