What is the Greatest Common Factor of 35974 and 35979?

Greatest common factor (GCF) of 35974 and 35979 is 1.

GCF(35974,35979) = 1

We will now calculate the prime factors of 35974 and 35979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35974 and 35979.

How to find the GCF of 35974 and 35979?

We will first find the prime factorization of 35974 and 35979. After we will calculate the factors of 35974 and 35979 and find the biggest common factor number .

Step-1: Prime Factorization of 35974

Prime factors of 35974 are 2, 17987. Prime factorization of 35974 in exponential form is:

35974 = 2¹ × 17987¹

Step-2: Prime Factorization of 35979

Prime factors of 35979 are 3, 67, 179. Prime factorization of 35979 in exponential form is:

35979 = 3¹ × 67¹ × 179¹

Step-3: Factors of 35974

List of positive integer factors of 35974 that divides 35974 without a remainder.

1, 2, 17987

Step-4: Factors of 35979

List of positive integer factors of 35979 that divides 35974 without a remainder.

1, 3, 67, 179, 201, 537, 11993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35974 and 35979. The biggest common factor number is the GCF number.
So the greatest common factor 35974 and 35979 is 1.

Also check out the Least Common Multiple of 35974 and 35979