What is the Greatest Common Factor of 5950 and 5970?

Greatest common factor (GCF) of 5950 and 5970 is 10.

GCF(5950,5970) = 10

We will now calculate the prime factors of 5950 and 5970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5950 and 5970.

How to find the GCF of 5950 and 5970?

We will first find the prime factorization of 5950 and 5970. After we will calculate the factors of 5950 and 5970 and find the biggest common factor number .

Step-1: Prime Factorization of 5950

Prime factors of 5950 are 2, 5, 7, 17. Prime factorization of 5950 in exponential form is:

5950 = 2¹ × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 5970

Prime factors of 5970 are 2, 3, 5, 199. Prime factorization of 5970 in exponential form is:

5970 = 2¹ × 3¹ × 5¹ × 199¹

Step-3: Factors of 5950

List of positive integer factors of 5950 that divides 5950 without a remainder.

1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975

Step-4: Factors of 5970

List of positive integer factors of 5970 that divides 5950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5950 and 5970. The biggest common factor number is the GCF number.
So the greatest common factor 5950 and 5970 is 10.

Also check out the Least Common Multiple of 5950 and 5970