What is the Greatest Common Factor of 50960 and 50970?

Greatest common factor (GCF) of 50960 and 50970 is 10.

GCF(50960,50970) = 10

We will now calculate the prime factors of 50960 and 50970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50960 and 50970.

How to find the GCF of 50960 and 50970?

We will first find the prime factorization of 50960 and 50970. After we will calculate the factors of 50960 and 50970 and find the biggest common factor number .

Step-1: Prime Factorization of 50960

Prime factors of 50960 are 2, 5, 7, 13. Prime factorization of 50960 in exponential form is:

50960 = 2⁴ × 5¹ × 7² × 13¹

Step-2: 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-3: Factors of 50960

List of positive integer factors of 50960 that divides 50960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 49, 52, 56, 65, 70, 80, 91, 98, 104, 112, 130, 140, 182, 196, 208, 245, 260, 280, 364, 392, 455, 490, 520, 560, 637, 728, 784, 910, 980, 1040, 1274, 1456, 1820, 1960, 2548, 3185, 3640, 3920, 5096, 6370, 7280, 10192, 12740, 25480

Step-4: Factors of 50970

List of positive integer factors of 50970 that divides 50960 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50960 and 50970. The biggest common factor number is the GCF number.
So the greatest common factor 50960 and 50970 is 10.

Also check out the Least Common Multiple of 50960 and 50970