What is the Greatest Common Factor of 75962 and 75967?

Greatest common factor (GCF) of 75962 and 75967 is 1.

GCF(75962,75967) = 1

We will now calculate the prime factors of 75962 and 75967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75962 and 75967.

How to find the GCF of 75962 and 75967?

We will first find the prime factorization of 75962 and 75967. After we will calculate the factors of 75962 and 75967 and find the biggest common factor number .

Step-1: Prime Factorization of 75962

Prime factors of 75962 are 2, 19, 1999. Prime factorization of 75962 in exponential form is:

75962 = 2¹ × 19¹ × 1999¹

Step-2: Prime Factorization of 75967

Prime factors of 75967 are 75967. Prime factorization of 75967 in exponential form is:

75967 = 75967¹

Step-3: Factors of 75962

List of positive integer factors of 75962 that divides 75962 without a remainder.

1, 2, 19, 38, 1999, 3998, 37981

Step-4: Factors of 75967

List of positive integer factors of 75967 that divides 75962 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75962 and 75967. The biggest common factor number is the GCF number.
So the greatest common factor 75962 and 75967 is 1.

Also check out the Least Common Multiple of 75962 and 75967