What is the Greatest Common Factor of 75962 and 75980?

Greatest common factor (GCF) of 75962 and 75980 is 2.

GCF(75962,75980) = 2

We will now calculate the prime factors of 75962 and 75980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75962 and 75980.

How to find the GCF of 75962 and 75980?

We will first find the prime factorization of 75962 and 75980. After we will calculate the factors of 75962 and 75980 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 75980

Prime factors of 75980 are 2, 5, 29, 131. Prime factorization of 75980 in exponential form is:

75980 = 2² × 5¹ × 29¹ × 131¹

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 75980

List of positive integer factors of 75980 that divides 75962 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 131, 145, 262, 290, 524, 580, 655, 1310, 2620, 3799, 7598, 15196, 18995, 37990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75962 and 75980. The biggest common factor number is the GCF number.
So the greatest common factor 75962 and 75980 is 2.

Also check out the Least Common Multiple of 75962 and 75980