What is the Greatest Common Factor of 50970 and 50979?

Greatest common factor (GCF) of 50970 and 50979 is 3.

GCF(50970,50979) = 3

We will now calculate the prime factors of 50970 and 50979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50970 and 50979.

How to find the GCF of 50970 and 50979?

We will first find the prime factorization of 50970 and 50979. After we will calculate the factors of 50970 and 50979 and find the biggest common factor number .

Step-1: Prime Factorization of 50970

Prime factors of 50970 are 2, 3, 5, 1699. Prime factorization of 50970 in exponential form is:

50970 = 2¹ × 3¹ × 5¹ × 1699¹

Step-2: Prime Factorization of 50979

Prime factors of 50979 are 3, 16993. Prime factorization of 50979 in exponential form is:

50979 = 3¹ × 16993¹

Step-3: Factors of 50970

List of positive integer factors of 50970 that divides 50970 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1699, 3398, 5097, 8495, 10194, 16990, 25485

Step-4: Factors of 50979

List of positive integer factors of 50979 that divides 50970 without a remainder.

1, 3, 16993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50970 and 50979. The biggest common factor number is the GCF number.
So the greatest common factor 50970 and 50979 is 3.

Also check out the Least Common Multiple of 50970 and 50979