What is the Greatest Common Factor of 50560 and 50570?

Greatest common factor (GCF) of 50560 and 50570 is 10.

GCF(50560,50570) = 10

We will now calculate the prime factors of 50560 and 50570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50560 and 50570.

How to find the GCF of 50560 and 50570?

We will first find the prime factorization of 50560 and 50570. After we will calculate the factors of 50560 and 50570 and find the biggest common factor number .

Step-1: Prime Factorization of 50560

Prime factors of 50560 are 2, 5, 79. Prime factorization of 50560 in exponential form is:

50560 = 2⁷ × 5¹ × 79¹

Step-2: Prime Factorization of 50570

Prime factors of 50570 are 2, 5, 13, 389. Prime factorization of 50570 in exponential form is:

50570 = 2¹ × 5¹ × 13¹ × 389¹

Step-3: Factors of 50560

List of positive integer factors of 50560 that divides 50560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 79, 80, 128, 158, 160, 316, 320, 395, 632, 640, 790, 1264, 1580, 2528, 3160, 5056, 6320, 10112, 12640, 25280

Step-4: Factors of 50570

List of positive integer factors of 50570 that divides 50560 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 389, 778, 1945, 3890, 5057, 10114, 25285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50560 and 50570. The biggest common factor number is the GCF number.
So the greatest common factor 50560 and 50570 is 10.

Also check out the Least Common Multiple of 50560 and 50570