What is the Greatest Common Factor of 65950 and 65960?

Greatest common factor (GCF) of 65950 and 65960 is 10.

GCF(65950,65960) = 10

We will now calculate the prime factors of 65950 and 65960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65950 and 65960.

How to find the GCF of 65950 and 65960?

We will first find the prime factorization of 65950 and 65960. After we will calculate the factors of 65950 and 65960 and find the biggest common factor number .

Step-1: Prime Factorization of 65950

Prime factors of 65950 are 2, 5, 1319. Prime factorization of 65950 in exponential form is:

65950 = 2¹ × 5² × 1319¹

Step-2: Prime Factorization of 65960

Prime factors of 65960 are 2, 5, 17, 97. Prime factorization of 65960 in exponential form is:

65960 = 2³ × 5¹ × 17¹ × 97¹

Step-3: Factors of 65950

List of positive integer factors of 65950 that divides 65950 without a remainder.

1, 2, 5, 10, 25, 50, 1319, 2638, 6595, 13190, 32975

Step-4: Factors of 65960

List of positive integer factors of 65960 that divides 65950 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 97, 136, 170, 194, 340, 388, 485, 680, 776, 970, 1649, 1940, 3298, 3880, 6596, 8245, 13192, 16490, 32980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65950 and 65960. The biggest common factor number is the GCF number.
So the greatest common factor 65950 and 65960 is 10.

Also check out the Least Common Multiple of 65950 and 65960