What is the Greatest Common Factor of 5950 and 5964?

Greatest common factor (GCF) of 5950 and 5964 is 14.

GCF(5950,5964) = 14

We will now calculate the prime factors of 5950 and 5964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5950 and 5964.

How to find the GCF of 5950 and 5964?

We will first find the prime factorization of 5950 and 5964. After we will calculate the factors of 5950 and 5964 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 5964

Prime factors of 5964 are 2, 3, 7, 71. Prime factorization of 5964 in exponential form is:

5964 = 2² × 3¹ × 7¹ × 71¹

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 5964

List of positive integer factors of 5964 that divides 5950 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5950 and 5964. The biggest common factor number is the GCF number.
So the greatest common factor 5950 and 5964 is 14.

Also check out the Least Common Multiple of 5950 and 5964