What is the Greatest Common Factor of 50560 and 50574?

Greatest common factor (GCF) of 50560 and 50574 is 2.

GCF(50560,50574) = 2

We will now calculate the prime factors of 50560 and 50574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50560 and 50574.

How to find the GCF of 50560 and 50574?

We will first find the prime factorization of 50560 and 50574. After we will calculate the factors of 50560 and 50574 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 50574

Prime factors of 50574 are 2, 3, 8429. Prime factorization of 50574 in exponential form is:

50574 = 2¹ × 3¹ × 8429¹

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 50574

List of positive integer factors of 50574 that divides 50560 without a remainder.

1, 2, 3, 6, 8429, 16858, 25287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50560 and 50574. The biggest common factor number is the GCF number.
So the greatest common factor 50560 and 50574 is 2.

Also check out the Least Common Multiple of 50560 and 50574